Elementary Algebra
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Chapter 9.5, Problem 347E

In the following exercises, simplify and rationalize the denominator.

347. 6 7

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Simplify : 4√52
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Chapter 9 Solutions

Elementary Algebra

Ch. 9.1 - Simplify: (a) 149 (b) 225 .Ch. 9.1 - Simplify: (a) 64 (b) 121 .Ch. 9.1 - Simplify: (a) 196 (b) 81 .Ch. 9.1 - Simplify: (a) 49 (b) 121 .Ch. 9.1 - Simplify: (a) 9+16 (b) 9+16 .Ch. 9.1 - Simplify: (a) 64+225 (b) 64+225 .Ch. 9.1 - Estimate the square root 38 between two...Ch. 9.1 - Estimate the square root 84 between two...Ch. 9.1 - Round 11 to two decimal places.Ch. 9.1 - Round 13 to two decimal places.
Ch. 9.1 - Simplify: (a) y8 (b) z12 .Ch. 9.1 - Simplify: (a) m4 (b) b10 .Ch. 9.1 - Simplify: 64x2 .Ch. 9.1 - Simplify: 169y2 .Ch. 9.1 - Simplify: 121y2 .Ch. 9.1 - Simplify: 100p2 .Ch. 9.1 - Simplify: 100a2b2 .Ch. 9.1 - Simplify: 225m2n2 .Ch. 9.1 - Simplify: 49x30 .Ch. 9.1 - Simplify: 81w36 .Ch. 9.1 - Simplify: 169x10y14 .Ch. 9.1 - Simplify: 144p12q20 .Ch. 9.1 - In the following exercises, simplify. 1. 36Ch. 9.1 - In the following exercises, simplify. 2. 4Ch. 9.1 - In the following exercises, simplify. 3. 64Ch. 9.1 - In the following exercises, simplify. 4. 169Ch. 9.1 - In the following exercises, simplify. 5. 9Ch. 9.1 - In the following exercises, simplify. 6. 16Ch. 9.1 - In the following exercises, simplify. 7. 100Ch. 9.1 - In the following exercises, simplify. 8. 144Ch. 9.1 - In the following exercises, simplify. 9. 4Ch. 9.1 - In the following exercises, simplify. 10. 100Ch. 9.1 - In the following exercises, simplify. 11. 1Ch. 9.1 - In the following exercises, simplify. 12. 121Ch. 9.1 - In the following exercises, simplify. 13. 121Ch. 9.1 - In the following exercises, simplify. 14. 36Ch. 9.1 - In the following exercises, simplify. 15. 9Ch. 9.1 - In the following exercises, simplify. 16. 49Ch. 9.1 - In the following exercises, simplify. 17. 9+16Ch. 9.1 - In the following exercises, simplify. 18. 25+144Ch. 9.1 - In the following exercises, simplify. 19. 9+16Ch. 9.1 - In the following exercises, simplify. 20. 25+144Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, simplify. 29. y2Ch. 9.1 - In the following exercises, simplify. 30. b2Ch. 9.1 - In the following exercises, simplify. 31. a14Ch. 9.1 - In the following exercises, simplify. 32. w24Ch. 9.1 - In the following exercises, simplify. 33. 49x2Ch. 9.1 - In the following exercises, simplify. 34. 100y2Ch. 9.1 - In the following exercises, simplify. 35. 121m20Ch. 9.1 - In the following exercises, simplify. 36. 25h44Ch. 9.1 - In the following exercises, simplify. 37. 81x36Ch. 9.1 - In the following exercises, simplify. 38. 144z84Ch. 9.1 - In the following exercises, simplify. 39. 81x18Ch. 9.1 - In the following exercises, simplify. 40. 100m32Ch. 9.1 - In the following exercises, simplify. 41. 64a2Ch. 9.1 - In the following exercises, simplify. 42. 25x2Ch. 9.1 - In the following exercises, simplify. 43. 144x2y2Ch. 9.1 - In the following exercises, simplify. 44. 196a2b2Ch. 9.1 - In the following exercises, simplify. 45. 169w8y10Ch. 9.1 - In the following exercises, simplify. 46. 81p24q6Ch. 9.1 - In the following exercises, simplify. 47. 9c8d12Ch. 9.1 - In the following exercises, simplify. 48. 36r6s20Ch. 9.1 - Decorating Denise wants to have a square accent of...Ch. 9.1 - Decorating Morris wants to have a square mosaic...Ch. 9.1 - Why is there no real number equal to 64 ?Ch. 9.1 - What is the difference between 92 and 9 ?Ch. 9.2 - Simplify: 48 .Ch. 9.2 - Simplify: 45 .Ch. 9.2 - Simplify: 288 .Ch. 9.2 - Simplify: 432 .Ch. 9.2 - Simplify: b5 .Ch. 9.2 - Simplify: p9 .Ch. 9.2 - Simplify: 16x7 .Ch. 9.2 - Simplify: 49v9 .Ch. 9.2 - Simplify: 32y5 .Ch. 9.2 - Simplify: 75a9 .Ch. 9.2 - Simplify: 98a7b5 .Ch. 9.2 - Simplify: 180m9n11 .Ch. 9.2 - Simplify: 5+75 .Ch. 9.2 - Simplify: 2+98 .Ch. 9.2 - Simplify: 10755 .Ch. 9.2 - Simplify: 6453 .Ch. 9.2 - Simplify: 2516 .Ch. 9.2 - Simplify: 4981 .Ch. 9.2 - Simplify: 7548 .Ch. 9.2 - Simplify: 98162 .Ch. 9.2 - Simplify: a8a6 .Ch. 9.2 - Simplify: x 14x 10 .Ch. 9.2 - Simplify: 75x53x .Ch. 9.2 - Simplify: 72z 122z 10 .Ch. 9.2 - Simplify: 1949 .Ch. 9.2 - Simplify: 2881 .Ch. 9.2 - Simplify: 24p349 .Ch. 9.2 - Simplify: 48x5100 .Ch. 9.2 - Simplify: 80m3n6 .Ch. 9.2 - Simplify: 54u7v8 .Ch. 9.2 - Simplify: 64x79x3 .Ch. 9.2 - Simplify: 16a9100a5 .Ch. 9.2 - Simplify: 50x5y372x4y .Ch. 9.2 - Simplify: 48m7n2125m5n9 .Ch. 9.2 - In the following exercises, simplify. 53. 27Ch. 9.2 - In the following exercises, simplify. 54. 80Ch. 9.2 - In the following exercises, simplify. 55. 125Ch. 9.2 - In the following exercises, simplify. 56. 96Ch. 9.2 - In the following exercises, simplify. 57. 200Ch. 9.2 - In the following exercises, simplify. 58. 147Ch. 9.2 - In the following exercises, simplify. 59. 450Ch. 9.2 - In the following exercises, simplify. 60. 252Ch. 9.2 - In the following exercises, simplify. 61. 800Ch. 9.2 - In the following exercises, simplify. 62. 288Ch. 9.2 - In the following exercises, simplify. 63. 675Ch. 9.2 - In the following exercises, simplify. 64. 1250Ch. 9.2 - In the following exercises, simplify. 65. x7Ch. 9.2 - In the following exercises, simplify. 66. y11Ch. 9.2 - In the following exercises, simplify. 67. p3Ch. 9.2 - In the following exercises, simplify. 68. q5Ch. 9.2 - In the following exercises, simplify. 69. m13Ch. 9.2 - In the following exercises, simplify. 70. n21Ch. 9.2 - In the following exercises, simplify. 71. r25Ch. 9.2 - In the following exercises, simplify. 72. s33Ch. 9.2 - In the following exercises, simplify. 73. 49n17Ch. 9.2 - In the following exercises, simplify. 74. 25m9Ch. 9.2 - In the following exercises, simplify. 75. 81r15Ch. 9.2 - In the following exercises, simplify. 76. 100s19Ch. 9.2 - In the following exercises, simplify. 77. 98m5Ch. 9.2 - In the following exercises, simplify. 78. 32n11Ch. 9.2 - In the following exercises, simplify. 79. 125r13Ch. 9.2 - In the following exercises, simplify. 80. 80s15Ch. 9.2 - In the following exercises, simplify. 81. 200p13Ch. 9.2 - In the following exercises, simplify. 82. 128q3Ch. 9.2 - In the following exercises, simplify. 83. 242m23Ch. 9.2 - In the following exercises, simplify. 84. 175n13Ch. 9.2 - In the following exercises, simplify. 85. 147m7n11Ch. 9.2 - In the following exercises, simplify. 86. 48m7n5Ch. 9.2 - In the following exercises, simplify. 87. 75r13s9Ch. 9.2 - In the following exercises, simplify. 88. 96r3s3Ch. 9.2 - In the following exercises, simplify. 89. 300p9q11Ch. 9.2 - In the following exercises, simplify. 90. 192q3r7Ch. 9.2 - In the following exercises, simplify. 91....Ch. 9.2 - In the following exercises, simplify. 92. 150m9n3Ch. 9.2 - In the following exercises, simplify. 93. 5+12Ch. 9.2 - In the following exercises, simplify. 94. 8+96Ch. 9.2 - In the following exercises, simplify. 95. 1+45Ch. 9.2 - In the following exercises, simplify. 96. 3+125Ch. 9.2 - In the following exercises, simplify. 97. 10242Ch. 9.2 - In the following exercises, simplify. 98. 8804Ch. 9.2 - In the following exercises, simplify. 99. 3+903Ch. 9.2 - In the following exercises, simplify. 100. 15+755Ch. 9.2 - In the following exercises, simplify. 101. 4964Ch. 9.2 - In the following exercises, simplify. 102. 10036Ch. 9.2 - In the following exercises, simplify. 103. 12116Ch. 9.2 - In the following exercises, simplify. 104. 144169Ch. 9.2 - In the following exercises, simplify. 105. 7298Ch. 9.2 - In the following exercises, simplify. 106. 7512Ch. 9.2 - In the following exercises, simplify. 107. 45125Ch. 9.2 - In the following exercises, simplify. 108. 300243Ch. 9.2 - In the following exercises, simplify. 109. x 10x6Ch. 9.2 - In the following exercises, simplify. 110. p 20p...Ch. 9.2 - In the following exercises, simplify. 111. y4y8Ch. 9.2 - In the following exercises, simplify. 112. q8q 14Ch. 9.2 - In the following exercises, simplify. 113....Ch. 9.2 - In the following exercises, simplify. 114. 98y...Ch. 9.2 - In the following exercises, simplify. 115. 96p96pCh. 9.2 - In the following exercises, simplify. 116. 108q...Ch. 9.2 - In the following exercises, simplify. 117. 3635Ch. 9.2 - In the following exercises, simplify. 118. 14465Ch. 9.2 - In the following exercises, simplify. 119. 2081Ch. 9.2 - In the following exercises, simplify. 120. 21196Ch. 9.2 - In the following exercises, simplify. 121. 96x7121Ch. 9.2 - In the following exercises, simplify. 122. 108y449Ch. 9.2 - In the following exercises, simplify. 123. 300m564Ch. 9.2 - In the following exercises, simplify. 124....Ch. 9.2 - In the following exercises, simplify. 125. 98r5100Ch. 9.2 - In the following exercises, simplify. 126. 180s...Ch. 9.2 - In the following exercises, simplify. 127. 28q6225Ch. 9.2 - In the following exercises, simplify. 128....Ch. 9.2 - In the following exercises, simplify. 129. 75r9s8Ch. 9.2 - In the following exercises, simplify. 130. 72x5y6Ch. 9.2 - In the following exercises, simplify. 131. 28p7q2Ch. 9.2 - In the following exercises, simplify. 132. 45r3s...Ch. 9.2 - In the following exercises, simplify. 133....Ch. 9.2 - In the following exercises, simplify. 134. 49r...Ch. 9.2 - In the following exercises, simplify. 135....Ch. 9.2 - In the following exercises, simplify. 136. 25r864rCh. 9.2 - In the following exercises, simplify. 137....Ch. 9.2 - In the following exercises, simplify. 138....Ch. 9.2 - In the following exercises, simplify. 139....Ch. 9.2 - In the following exercises, simplify. 140....Ch. 9.2 - (a) Elliott decides to construct a square garden...Ch. 9.2 - (a) Melissa accidentally drops a pair of...Ch. 9.2 - Explain why x4=x2 . Then explain why x16=x8 .Ch. 9.2 - Explain why 7+9 is not equal to 7+9 .Ch. 9.3 - Simplify: 8292 .Ch. 9.3 - Simplify: 5393 .Ch. 9.3 - Simplify: 2x+7x .Ch. 9.3 - Simplify: 5u+3u .Ch. 9.3 - Simplify: 7p6q .Ch. 9.3 - Simplify: 6a3b .Ch. 9.3 - Simplify: 411+211+311 .Ch. 9.3 - Simplify: 610+210+310 .Ch. 9.3 - Simplify: 5545+26 .Ch. 9.3 - Simplify: 3787+25 .Ch. 9.3 - Simplify: 7x77x+47x .Ch. 9.3 - Simplify: 43y73y+23y .Ch. 9.3 - Simplify: 5xy+45xy75xy .Ch. 9.3 - Simplify: 37mn+7mn47mn .Ch. 9.3 - Simplify: 18+62 .Ch. 9.3 - Simplify: 27+43 .Ch. 9.3 - Simplify: 3218 .Ch. 9.3 - Simplify: 2045 .Ch. 9.3 - Simplify: 427312 .Ch. 9.3 - Simplify: 320745 .Ch. 9.3 - Simplify: 2310857147 .Ch. 9.3 - Simplify: 3520034128 .Ch. 9.3 - Simplify: 2532138 .Ch. 9.3 - Simplify: 138014125 .Ch. 9.3 - Simplify: 32m750m7 .Ch. 9.3 - Simplify: 27p348p3 .Ch. 9.3 - Simplify: 532x2348x2 .Ch. 9.3 - Simplify: 748y2472y2 .Ch. 9.3 - Simplify: 312x22x48+427x2 .Ch. 9.3 - Simplify: 318x26x32+250x2 .Ch. 9.3 - In the following exercises, simplify. 145. 8252Ch. 9.3 - In the following exercises, simplify. 146. 7232Ch. 9.3 - In the following exercises, simplify. 147. 35+65Ch. 9.3 - In the following exercises, simplify. 148. 45+85Ch. 9.3 - In the following exercises, simplify. 149. 97107Ch. 9.3 - In the following exercises, simplify. 150. 117127Ch. 9.3 - In the following exercises, simplify. 151. 7y+2yCh. 9.3 - In the following exercises, simplify. 152. 9n+3nCh. 9.3 - In the following exercises, simplify. 153. a4aCh. 9.3 - In the following exercises, simplify. 154. b6bCh. 9.3 - In the following exercises, simplify. 155. 5c+2cCh. 9.3 - In the following exercises, simplify. 156. 7d+2dCh. 9.3 - In the following exercises, simplify. 157. 8a2bCh. 9.3 - In the following exercises, simplify. 158. 5c3dCh. 9.3 - In the following exercises, simplify. 159. 5m+nCh. 9.3 - In the following exercises, simplify. 160. n+3pCh. 9.3 - In the following exercises, simplify. 161....Ch. 9.3 - In the following exercises, simplify. 162. 65+35+5Ch. 9.3 - In the following exercises, simplify. 163....Ch. 9.3 - In the following exercises, simplify. 164....Ch. 9.3 - In the following exercises, simplify. 165. 3383+75Ch. 9.3 - In the following exercises, simplify. 166. 5787+63Ch. 9.3 - In the following exercises, simplify. 167. 62+2235Ch. 9.3 - In the following exercises, simplify. 168. 75+5810Ch. 9.3 - In the following exercises, simplify. 169....Ch. 9.3 - In the following exercises, simplify. 170....Ch. 9.3 - In the following exercises, simplify. 171....Ch. 9.3 - In the following exercises, simplify. 172....Ch. 9.3 - In the following exercises, simplify. 173....Ch. 9.3 - In the following exercises, simplify. 174....Ch. 9.3 - In the following exercises, simplify. 175....Ch. 9.3 - In the following exercises, simplify. 176....Ch. 9.3 - sIn the following exercises, simplify. 177. 50+42Ch. 9.3 - In the following exercises, simplify. 178. 48+23Ch. 9.3 - In the following exercises, simplify. 179. 8035Ch. 9.3 - In the following exercises, simplify. 180. 2847Ch. 9.3 - In the following exercises, simplify. 181. 2775Ch. 9.3 - In the following exercises, simplify. 182. 7298Ch. 9.3 - In the following exercises, simplify. 183. 48+27Ch. 9.3 - In the following exercises, simplify. 184. 45+80Ch. 9.3 - In the following exercises, simplify. 185. 250372Ch. 9.3 - In the following exercises, simplify. 186. 398128Ch. 9.3 - In the following exercises, simplify. 187. 212+348Ch. 9.3 - In the following exercises, simplify. 188....Ch. 9.3 - In the following exercises, simplify. 189....Ch. 9.3 - In the following exercises, simplify. 190....Ch. 9.3 - In the following exercises, simplify. 191....Ch. 9.3 - In the following exercises, simplify. 192....Ch. 9.3 - In the following exercises, simplify. 193....Ch. 9.3 - In the following exercises, simplify. 194....Ch. 9.3 - In the following exercises, simplify. 195....Ch. 9.3 - In the following exercises, simplify. 196....Ch. 9.3 - In the following exercises, simplify. 197....Ch. 9.3 - In the following exercises, simplify. 198....Ch. 9.3 - In the following exercises, simplify. 199....Ch. 9.3 - In the following exercises, simplify. 200....Ch. 9.3 - In the following exercises, simplify. 201....Ch. 9.3 - In the following exercises, simplify. 202....Ch. 9.3 - In the following exercises, simplify. 203....Ch. 9.3 - In the following exercises, simplify. 204....Ch. 9.3 - In the following exercises, simplify. 205....Ch. 9.3 - In the following exercises, simplify. 206....Ch. 9.3 - In the following exercises, simplify. 207....Ch. 9.3 - In the following exercises, simplify. 208....Ch. 9.3 - 28+6858Ch. 9.3 - 2327+3448Ch. 9.3 - 175k463k4Ch. 9.3 - 56162+316128Ch. 9.3 - 23632300Ch. 9.3 - 150+46Ch. 9.3 - 9282Ch. 9.3 - 5x8yCh. 9.3 - 813413313Ch. 9.3 - 512c4327c6Ch. 9.3 - 80a545a5Ch. 9.3 - 35751448Ch. 9.3 - 2119219Ch. 9.3 - 500+405Ch. 9.3 - 5627+5848Ch. 9.3 - 11111011Ch. 9.3 - 75108Ch. 9.3 - 298472Ch. 9.3 - 424x254x2+3x6Ch. 9.3 - 880y6648y6Ch. 9.3 - A decorator decides to use square tiles as an...Ch. 9.3 - Suzy wants to use square tiles on the border of a...Ch. 9.3 - Explain the difference between like radicals and...Ch. 9.3 - Explain the process for determining whether two...Ch. 9.4 - Simplify: (a) 36 (b) . (26)(312) ..Ch. 9.4 - Simplify: (a) 510 (b) (63)(56) .Ch. 9.4 - Simplify: (32)(230) .Ch. 9.4 - Simplify: (33)(36) .Ch. 9.4 - Simplify: (a) (6x3)(3x) (b) (2y3)(50y2) .Ch. 9.4 - Simplify: (a) (6x5)(2x) (b) (12y2)(3y5) .Ch. 9.4 - Simplify: (62x2)(845x4) .Ch. 9.4 - Simplify: (26y4)(1230y) .Ch. 9.4 - Simplify: (a) ( 12)2 (b) ( 15)2 .Ch. 9.4 - Simplify: (a) ( 16)2 (b) ( 20)2 .Ch. 9.4 - Simplify: (a) (611)(511) (b) (58)2 .Ch. 9.4 - Simplify: (a) (37)(107) (b) (46)2 .Ch. 9.4 - Simplify: (a) 2(35) (b) 3(218) .Ch. 9.4 - Simplify: (a) 6(2+6) (b) 7(1+14) .Ch. 9.4 - Simplify: (a) 6(1+36) (b) 12(3+24) .Ch. 9.4 - Simplify: (a) 8(258) (b) 14(2+42) .Ch. 9.4 - Simplify: (1+6)(36) .Ch. 9.4 - Simplify: (410)(2+10) .Ch. 9.4 - Simplify: (637)(3+47) .Ch. 9.4 - Simplify: (2311)(411) .Ch. 9.4 - Simplify: (537)(3+27) .Ch. 9.4 - Simplify: (638)(26+8) .Ch. 9.4 - Simplify: (65m)(2+3m) .Ch. 9.4 - Simplify: (10+3n)(15n) .Ch. 9.4 - Simplify: (a) (10+2)2 (b) (1+36)2 .Ch. 9.4 - Simplify: (a) (65)2 (b) (92 10)2 .Ch. 9.4 - Simplify: (2+5m)2 .Ch. 9.4 - Simplify: (34n)2 .Ch. 9.4 - Simplify: (23)(2+3) .Ch. 9.4 - Simplify: (1+5)(15) .Ch. 9.4 - Simplify: (325)(3+25) .Ch. 9.4 - Simplify: (4+57)(457) .Ch. 9.4 - In the following exercises, simplify. 233. (a) 28...Ch. 9.4 - In the following exercises, simplify. 234. (a) 66...Ch. 9.4 - In the following exercises, simplify. 235. (a) 714...Ch. 9.4 - In the following exercises, simplify. 236. (a) 612...Ch. 9.4 - In the following exercises, simplify. 237....Ch. 9.4 - In the following exercises, simplify. 238....Ch. 9.4 - In the following exercises, simplify. 239....Ch. 9.4 - In the following exercises, simplify. 240....Ch. 9.4 - In the following exercises, simplify. 241....Ch. 9.4 - In the following exercises, simplify. 242....Ch. 9.4 - In the following exercises, simplify. 243....Ch. 9.4 - In the following exercises, simplify. 244....Ch. 9.4 - In the following exercises, simplify. 245. (a)...Ch. 9.4 - In the following exercises, simplify. 246. (a)...Ch. 9.4 - In the following exercises, simplify. 247. (a)...Ch. 9.4 - In the following exercises, simplify. 248. (a)...Ch. 9.4 - In the following exercises, simplify. 249....Ch. 9.4 - In the following exercises, simplify. 250....Ch. 9.4 - In the following exercises, simplify. 251....Ch. 9.4 - In the following exercises, simplify. 252....Ch. 9.4 - In the following exercises, simplify. 253....Ch. 9.4 - In the following exercises, simplify. 254....Ch. 9.4 - In the following exercises, simplify. 255....Ch. 9.4 - In the following exercises, simplify. 256. (a)...Ch. 9.4 - In the following exercises, simplify. 257. (a) (...Ch. 9.4 - In the following exercises, simplify. 258. (a) (...Ch. 9.4 - In the following exercises, simplify. 259. (a) (...Ch. 9.4 - In the following exercises, simplify. 260. (a)...Ch. 9.4 - In the following exercises, simplify. 261. (a)...Ch. 9.4 - In the following exercises, simplify. 262. (a)...Ch. 9.4 - In the following exercises, simplify. 263. (a)...Ch. 9.4 - In the following exercises, simplify. 264. (a)...Ch. 9.4 - In the following exercises, simplify. 265. (a)...Ch. 9.4 - In the following exercises, simplify. 266. (a)...Ch. 9.4 - In the following exercises, simplify. 267. (a)...Ch. 9.4 - In the following exercises, simplify. 268. (a)...Ch. 9.4 - In the following exercises, simplify. 269. (a)...Ch. 9.4 - In the following exercises, simplify. 270. (a)...Ch. 9.4 - In the following exercises, simplify. 271. (a)...Ch. 9.4 - In the following exercises, simplify. 272....Ch. 9.4 - In the following exercises, simplify. 273....Ch. 9.4 - In the following exercises, simplify. 274....Ch. 9.4 - In the following exercises, simplify. 275....Ch. 9.4 - In the following exercises, simplify. 276....Ch. 9.4 - In the following exercises, simplify. 277....Ch. 9.4 - In the following exercises, simplify. 278....Ch. 9.4 - In the following exercises, simplify. 279....Ch. 9.4 - In the following exercises, simplify. 280....Ch. 9.4 - In the following exercises, simplify. 281....Ch. 9.4 - In the following exercises, simplify. 282....Ch. 9.4 - In the following exercises, simplify. 283....Ch. 9.4 - In the following exercises, simplify. 284....Ch. 9.4 - In the following exercises, simplify. 285....Ch. 9.4 - In the following exercises, simplify. 286....Ch. 9.4 - In the following exercises, simplify. 287....Ch. 9.4 - In the following exercises, simplify. 288. (a)...Ch. 9.4 - In the following exercises, simplify. 289. (a) (4+...Ch. 9.4 - In the following exercises, simplify. 290. (a)...Ch. 9.4 - In the following exercises, simplify. 291. (a) (5...Ch. 9.4 - In the following exercises, simplify. 292....Ch. 9.4 - In the following exercises, simplify. 293....Ch. 9.4 - In the following exercises, simplify. 294....Ch. 9.4 - In the following exercises, simplify. 295....Ch. 9.4 - In the following exercises, simplify. 296....Ch. 9.4 - In the following exercises, simplify. 297....Ch. 9.4 - In the following exercises, simplify. 298....Ch. 9.4 - In the following exercises, simplify. 299....Ch. 9.4 - In the following exercises, simplify. 300. 321Ch. 9.4 - In the following exercises, simplify. 301....Ch. 9.4 - In the following exercises, simplify. 302....Ch. 9.4 - In the following exercises, simplify. 303....Ch. 9.4 - In the following exercises, simplify. 304....Ch. 9.4 - In the following exercises, simplify. 305....Ch. 9.4 - In the following exercises, simplify. 306....Ch. 9.4 - In the following exercises, simplify. 307. ( 29)2Ch. 9.4 - In the following exercises, simplify. 308....Ch. 9.4 - In the following exercises, simplify. 309....Ch. 9.4 - A landscaper wants to put a square reflecting pool...Ch. 9.4 - An artist wants to make a small monument in the...Ch. 9.4 - A square garden will be made with a stone border...Ch. 9.4 - A garden will be made so as to contain two square...Ch. 9.4 - Suppose a third section will be added to the...Ch. 9.4 - (a) Explain why (n)2 is always positive, for n0 ....Ch. 9.4 - Use the binomial square pattern to simplify (3+2)2...Ch. 9.5 - Simplify: 328 .Ch. 9.5 - Simplify: 7515 .Ch. 9.5 - Simplify: 84010 .Ch. 9.5 - Simplify: 107520 .Ch. 9.5 - Simplify: 48108 .Ch. 9.5 - Simplify: 9654 .Ch. 9.5 - Simplify: 12r36r .Ch. 9.5 - Simplify: 14p92p5 .Ch. 9.5 - Simplify: 50s3128s .Ch. 9.5 - Simplify: 75q5108q .Ch. 9.5 - Simplify: 162x 10y22x6y6 .Ch. 9.5 - Simplify: 300m3n73m5n .Ch. 9.5 - Simplify: 53 .Ch. 9.5 - Simplify: 65 .Ch. 9.5 - Simplify: 525 .Ch. 9.5 - Simplify: 943 .Ch. 9.5 - Simplify: 718 .Ch. 9.5 - Simplify: 332 .Ch. 9.5 - Simplify: 327 .Ch. 9.5 - Simplify: 1050 .Ch. 9.5 - Simplify: 22+3 .Ch. 9.5 - Simplify: 55+3 .Ch. 9.5 - Simplify: 315 .Ch. 9.5 - Simplify: 246 .Ch. 9.5 - Simplify: 5x+2 .Ch. 9.5 - Simplify: 10y3 .Ch. 9.5 - Simplify:. p+2p2 .Ch. 9.5 - Simplify: q10q+10 .Ch. 9.5 - In the following exercises, simplify. 317. 276Ch. 9.5 - In the following exercises, simplify. 318. 5010Ch. 9.5 - In the following exercises, simplify. 319. 729Ch. 9.5 - In the following exercises, simplify. 320. 2436Ch. 9.5 - In the following exercises, simplify. 321. 2328Ch. 9.5 - In the following exercises, simplify. 322. 3+279Ch. 9.5 - In the following exercises, simplify. 323. 6+456Ch. 9.5 - In the following exercises, simplify. 324. 1020020Ch. 9.5 - In the following exercises, simplify. 325. 80125Ch. 9.5 - In the following exercises, simplify. 326. 72200Ch. 9.5 - In the following exercises, simplify. 327. 12872Ch. 9.5 - In the following exercises, simplify. 328. 4875Ch. 9.5 - In the following exercises, simplify. 329. (a)...Ch. 9.5 - In the following exercises, simplify. 330. (a)...Ch. 9.5 - In the following exercises, simplify. 331....Ch. 9.5 - In the following exercises, simplify. 332....Ch. 9.5 - In the following exercises, simplify. 333....Ch. 9.5 - In the following exercises, simplify. 334. 98rs...Ch. 9.5 - In the following exercises, simplify. 335....Ch. 9.5 - In the following exercises, simplify. 336....Ch. 9.5 - In the following exercises, simplify. 337. 9814Ch. 9.5 - In the following exercises, simplify. 338. 7218Ch. 9.5 - In the following exercises, simplify. 339. 5+12515Ch. 9.5 - In the following exercises, simplify. 340. 64512Ch. 9.5 - In the following exercises, simplify. 341. 96150Ch. 9.5 - In the following exercises, simplify. 342. 2863Ch. 9.5 - In the following exercises, simplify. 343. 26y72yCh. 9.5 - In the following exercises, simplify. 344. 15x33xCh. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - A supply kit is dropped from an airplane flying at...Ch. 9.5 - A flare is dropped into the ocean from an airplane...Ch. 9.5 - (a) Simplify 273 and explain all your steps. (b)...Ch. 9.5 - (a) Approximate 12 by dividing 11.414 using long...Ch. 9.6 - For the equation x+6=x : (a) Is x=2 a solution?...Ch. 9.6 - For the equation x+2=x : (a) Is x=2 a solution?...Ch. 9.6 - Solve: 3x5=5 .Ch. 9.6 - Solve: 4x+8=6 .Ch. 9.6 - Solve: 3m+25=0 .Ch. 9.6 - Solve: 10z+12=0 .Ch. 9.6 - Solve: 3p+3+3=5 .Ch. 9.6 - Solve: 5q+1+4=6 .Ch. 9.6 - Solve: 2r3+5=0 .Ch. 9.6 - Solve: 7s3+2=0 .Ch. 9.6 - Solve: x2+2=x .Ch. 9.6 - Solve: y5+5=y .Ch. 9.6 - Solve: m+9m+3=0 .Ch. 9.6 - Solve: n+1n+1=0 .Ch. 9.6 - Solve: 24a+216=16 .Ch. 9.6 - Solve: 36b+325=50 .Ch. 9.6 - Solve: 2x5=5x+3 .Ch. 9.6 - Solve: 7y+1=2y5 .Ch. 9.6 - Solve: x+3=x+5 .Ch. 9.6 - Solve: m+5=m+16 .Ch. 9.6 - Solve: y3+2=4y+2 .Ch. 9.6 - Solve: n4+5=3n+3 .Ch. 9.6 - Katie wants to plant a square lawn in her front...Ch. 9.6 - Sergio wants to make a square mosaic as an inlay...Ch. 9.6 - A helicopter dropped a rescue package from a...Ch. 9.6 - A window washer dropped a squeegee from a platform...Ch. 9.6 - An accident investigator measured the skid marks...Ch. 9.6 - The skid marks of a vehicle involved in an...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, solve. 393. 5y+1=4Ch. 9.6 - In the following exercises, solve. 394. 7z+15=6Ch. 9.6 - In the following exercises, solve. 395. 5x6=8Ch. 9.6 - In the following exercises, solve. 396. 4x3=7Ch. 9.6 - In the following exercises, solve. 397. 2m35=0Ch. 9.6 - In the following exercises, solve. 398. 2n13=0Ch. 9.6 - In the following exercises, solve. 399. 6v210=0Ch. 9.6 - In the following exercises, solve. 400. 4u+26=0Ch. 9.6 - In the following exercises, solve. 401. 5q+34=0Ch. 9.6 - In the following exercises, solve. 402. 4m+2+2=6Ch. 9.6 - In the following exercises, solve. 403. 6n+1+4=8Ch. 9.6 - In the following exercises, solve. 404. 2u3+2=0Ch. 9.6 - In the following exercises, solve. 405. 5v2+5=0Ch. 9.6 - In the following exercises, solve. 406. 3z5+2=0Ch. 9.6 - In the following exercises, solve. 407. 2m+1+4=0Ch. 9.6 - In the following exercises, solve. 408. (a) u3+3=u...Ch. 9.6 - In the following exercises, solve. 409. (a)...Ch. 9.6 - In the following exercises, solve. 410. (a) r1r=1...Ch. 9.6 - In the following exercises, solve. 411. (a) s8s=8...Ch. 9.6 - In the following exercises, solve. 412. 32x320=7Ch. 9.6 - In the following exercises, solve. 413. 25x+18=0Ch. 9.6 - In the following exercises, solve. 414. 28r+18=2Ch. 9.6 - In the following exercises, solve. 415. 37y+110=8Ch. 9.6 - In the following exercises, solve. 416. 3u2=5u+1Ch. 9.6 - In the following exercises, solve. 417. 4v+3=v6Ch. 9.6 - In the following exercises, solve. 418. 8+2r=3r+10Ch. 9.6 - In the following exercises, solve. 419. 12c+6=104cCh. 9.6 - In the following exercises, solve. 420. (a)...Ch. 9.6 - In the following exercises, solve. 421. (a)...Ch. 9.6 - In the following exercises, solve. 422. (a)...Ch. 9.6 - In the following exercises, solve. 423. (a)...Ch. 9.6 - In the following exercises, solve. 424. 2y+4+6=0Ch. 9.6 - In the following exercises, solve. 425. 8u+1+9=0Ch. 9.6 - In the following exercises, solve. 426. a+1=a+5Ch. 9.6 - In the following exercises, solve. 427. d2=d20Ch. 9.6 - In the following exercises, solve. 428. 6s+4=8s28Ch. 9.6 - In the following exercises, solve. 429. 9p+9=10p6Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - Explain why an equation of the form x+1=0 has no...Ch. 9.6 - (a) Solve the equation r+4r+2=0 . (b) Explain why...Ch. 9.7 - Simplify: (a) 273 (b) 2564 (c) 2435 .Ch. 9.7 - Simplify: (a) 10003 (b) 164 (c) 325 .Ch. 9.7 - Simplify: (a) 1253 (b) 164 (c) 325 .Ch. 9.7 - Simplify: (a) 2163 (b) 814 (c) 10245 .Ch. 9.7 - Simplify: (a) b2 (b) w33 (c) m44 (d) q55 .Ch. 9.7 - Simplify: (a) y2 (b) p33 (c) z44 (d) q55 .Ch. 9.7 - Simplify: (a) u124 (b) v153 .Ch. 9.7 - Simplify: (a) c205 (b) d246 .Ch. 9.7 - Simplify: (a) 27x273 (b) 81q284 .Ch. 9.7 - Simplify: (a) 125p93 (b) 243q255 .Ch. 9.7 - Simplify: (a) y64 (b) z53 .Ch. 9.7 - Simplify: (a) p85 (b) q136 .Ch. 9.7 - Simplify: (a) 813 (b) 644 .Ch. 9.7 - Simplify: (a) 6253 (b) 7294 .Ch. 9.7 - Simplify: (a) 54p103 (b) 64q104 .Ch. 9.7 - Simplify: (a) 128m113 (b) 162n74 .Ch. 9.7 - Simplify: (a) 1083 (b) 484 .Ch. 9.7 - Simplify: (a) 6253 (b) 3244 .Ch. 9.7 - Simplify: (a) x7x34 (b) y 17y54 .Ch. 9.7 - Simplify: (a) m 13m73 (b) n 12n25 .Ch. 9.7 - Simplify: (a) 532323 (b) 486m 1143m54 .Ch. 9.7 - Simplify: (a) 192333 (b) 324n742n34 .Ch. 9.7 - Simplify: (a) 108c 10d63 (b) 80x 10y54 .Ch. 9.7 - Simplify: (a) 40r3s3 (b) 162m 14n 124 .Ch. 9.7 - Simplify: (a) 3x5+3x5 (b) 39393 .Ch. 9.7 - Simplify: (a) 10y4+10y4 (b) 53263326 .Ch. 9.7 - Simplify: (a) 1923813 (b) 324+5124 .Ch. 9.7 - Simplify: (a) 10832503 (b) 645+4865 .Ch. 9.7 - Simplify: (a) 32y53108y83 (b) 243r114+768r104 .Ch. 9.7 - Simplify: (a) 40z73135z43 (b) 80s134+1280s64 .Ch. 9.7 - In the following exercises, simplify. 442. (a)...Ch. 9.7 - In the following exercises, simplify. 443. (a) 273...Ch. 9.7 - In the following exercises, simplify. 444. (a)...Ch. 9.7 - In the following exercises, simplify. 445. (a)...Ch. 9.7 - In the following exercises, simplify. 446. (a) 83...Ch. 9.7 - In the following exercises, simplify. 447. (a) 643...Ch. 9.7 - In the following exercises, simplify. 448. (a)...Ch. 9.7 - In the following exercises, simplify. 449. (a)...Ch. 9.7 - In the following exercises, simplify. 450. (a) u55...Ch. 9.7 - In the following exercises, simplify. 451. (a) a33...Ch. 9.7 - In the following exercises, simplify. 452. (a) y44...Ch. 9.7 - In the following exercises, simplify. 453. (a) k88...Ch. 9.7 - In the following exercises, simplify. 454. (a) x93...Ch. 9.7 - In the following exercises, simplify. 455. (a)...Ch. 9.7 - In the following exercises, simplify. 456. (a) m84...Ch. 9.7 - In the following exercises, simplify. 457. (a)...Ch. 9.7 - In the following exercises, simplify. 458. (a)...Ch. 9.7 - In the following exercises, simplify. 459. (a)...Ch. 9.7 - In the following exercises, simplify. 460. (a)...Ch. 9.7 - In the following exercises, simplify. 461. (a)...Ch. 9.7 - In the following exercises, simplify. 462. (a) r53...Ch. 9.7 - In the following exercises, simplify. 463. (a) u75...Ch. 9.7 - In the following exercises, simplify. 464. (a) m54...Ch. 9.7 - In the following exercises, simplify. 465. (a) p85...Ch. 9.7 - In the following exercises, simplify. 466. (a) 324...Ch. 9.7 - In the following exercises, simplify. 467. (a)...Ch. 9.7 - In the following exercises, simplify. 468. (a) 645...Ch. 9.7 - In the following exercises, simplify. 469. (a)...Ch. 9.7 - In the following exercises, simplify. 470. (a)...Ch. 9.7 - In the following exercises, simplify. 471. (a)...Ch. 9.7 - In the following exercises, simplify. 472. (a)...Ch. 9.7 - In the following exercises, simplify. 473. (a)...Ch. 9.7 - In the following exercises, simplify. 474. (a)...Ch. 9.7 - In the following exercises, simplify. 475. (a)...Ch. 9.7 - In the following exercises, simplify. 476. (a) 325...Ch. 9.7 - In the following exercises, simplify. 477. (a) 83...Ch. 9.7 - In the following exercises, simplify. 478. (a) p...Ch. 9.7 - In the following exercises, simplify. 479. (a) d...Ch. 9.7 - In the following exercises, simplify. 480. (a) u...Ch. 9.7 - In the following exercises, simplify. 481. (a) r...Ch. 9.7 - In the following exercises, simplify. 482. (a)...Ch. 9.7 - In the following exercises, simplify. 483. (a)...Ch. 9.7 - In the following exercises, simplify. 484. (a)...Ch. 9.7 - In the following exercises, simplify. 485. (a)...Ch. 9.7 - In the following exercises, simplify. 486. (a)...Ch. 9.7 - In the following exercises, simplify. 487. (a) 96r...Ch. 9.7 - In the following exercises, simplify. 488. (a)...Ch. 9.7 - In the following exercises, simplify. 489. (a)...Ch. 9.7 - In the following exercises, simplify. 490. (a)...Ch. 9.7 - In the following exercises, simplify. 491. (a)...Ch. 9.7 - In the following exercises, simplify. 492. (a)...Ch. 9.7 - In the following exercises, simplify. 493. (a)...Ch. 9.7 - In the following exercises, simplify. 494. (a)...Ch. 9.7 - In the following exercises, simplify. 495. (a)...Ch. 9.7 - In the following exercises, simplify. 496. (a)...Ch. 9.7 - In the following exercises, simplify. 497. (a)...Ch. 9.7 - In the following exercises, simplify. 498. (a)...Ch. 9.7 - In the following exercises, simplify. 499. (a)...Ch. 9.7 - In the following exercises, simplify. 500. 164Ch. 9.7 - In the following exercises, simplify. 501. 646Ch. 9.7 - In the following exercises, simplify. 502. a33Ch. 9.7 - In the following exercises, simplify. 503. b1212Ch. 9.7 - In the following exercises, simplify. 504. 8c93Ch. 9.7 - In the following exercises, simplify. 505. 125d153Ch. 9.7 - In the following exercises, simplify. 506. r53Ch. 9.7 - In the following exercises, simplify. 507. s104Ch. 9.7 - In the following exercises, simplify. 508. 108x53Ch. 9.7 - In the following exercises, simplify. 509. 48y64Ch. 9.7 - In the following exercises, simplify. 510. 4865Ch. 9.7 - In the following exercises, simplify. 511. 646Ch. 9.7 - In the following exercises, simplify. 512. 64424Ch. 9.7 - In the following exercises, simplify. 513....Ch. 9.7 - In the following exercises, simplify. 514. 96r...Ch. 9.7 - In the following exercises, simplify. 515....Ch. 9.7 - In the following exercises, simplify. 516. 8131923Ch. 9.7 - In the following exercises, simplify. 517. 5124324Ch. 9.7 - In the following exercises, simplify. 518....Ch. 9.7 - In the following exercises, simplify. 519....Ch. 9.7 - Population growth The expression 10xn models the...Ch. 9.7 - Spread of a virus The expression 3xn models the...Ch. 9.7 - Explain how you know that x105=x2 .Ch. 9.7 - Explain why 644 is not a real number but 643 is.Ch. 9.8 - Write as a radical expression: (a) t12 (b) m13 (c)...Ch. 9.8 - Write as a radical expression: (a) b12 (b) z13 (c)...Ch. 9.8 - Write with a rational exponent: (a) s (b) x3 (c)...Ch. 9.8 - Write with a rational exponent: (a) v (b) p3 (c)...Ch. 9.8 - Write with a rational exponent: (a) 10m (b) 3n5...Ch. 9.8 - Write with a rational exponent: (a) 73k (b) 5j4...Ch. 9.8 - Simplify: (a) 3612 (b) 813 (c) 1614 .Ch. 9.8 - Simplify: (a) 10012 (b) 2713 (c) 8114 .Ch. 9.8 - Simplify: (a) (125)13 (b) 12513 (c) (125)13 .Ch. 9.8 - Simplify: (a) (32)15 (b) 3215 (c) (32)15 .Ch. 9.8 - Simplify: (a) (64)12 (b) 6412 (c) (64)12 .Ch. 9.8 - Simplify: (a) (256)14 (b) 25614 (c) (256)14 .Ch. 9.8 - Write with a rational exponent: (a) x5 (b) z34 (c)...Ch. 9.8 - Write with a rational exponent: (a) a25 (b) b73...Ch. 9.8 - Simplify: (a) 432 (b) 2723 (c) 62534 .Ch. 9.8 - Simplify: (a) 853 (b) 8132 (c) 1634 .Ch. 9.8 - Simplify: (a) 853 (b) 8132 (c) 1634 .Ch. 9.8 - Simplify: (a) 432 (b) 2723 (c) 62534 .Ch. 9.8 - Simplify: (a) 1632 (b) 1632 (c) (16)32 .Ch. 9.8 - Simplify: (a) 8132 (b) 8132 (c) (81)32 .Ch. 9.8 - Simplify: (a) 323343 (b) y13y83 (c) m14m34 .Ch. 9.8 - Simplify: (a) 535575 (b) z18z78 (c) n27n57 .Ch. 9.8 - Simplify: (a) (p 10)15 (b) (q8)34 (c) (x6)43 .Ch. 9.8 - Simplify: (a) (r6)53 (b) (s 12)34 (c) (m9)29 .Ch. 9.8 - Simplify: (a) u55u14 (b) v35v25 (c) x23x53 .Ch. 9.8 - Simplify: (a) c 125c25 (b) m54m94 (c) d15d65 .Ch. 9.8 - Simplify: (a) (32x 1 3 )35 (b) (64y 2 3 )13 .Ch. 9.8 - Simplify: (a) (16m 1 3 )32 (b) (81n 2 5 )32 .Ch. 9.8 - Simplify: (a) m23m13m53 (b) n16nn 116 .Ch. 9.8 - Simplify: (a) u45u25u 135 (b) v12vv72 .Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, simplify. 536. (a)...Ch. 9.8 - In the following exercises, simplify. 537. (a)...Ch. 9.8 - In the following exercises, simplify. 538. (a)...Ch. 9.8 - In the following exercises, simplify. 539. (a)...Ch. 9.8 - In the following exercises, simplify. 540. (a)...Ch. 9.8 - In the following exercises, simplify. 541. (a)...Ch. 9.8 - In the following exercises, simplify. 542. (a)...Ch. 9.8 - In the following exercises, simplify. 543. (a)...Ch. 9.8 - In the following exercises, simplify. 544. (a)...Ch. 9.8 - In the following exercises, simplify. 545. (a)...Ch. 9.8 - In the following exercises, simplify. 546. (a)...Ch. 9.8 - In the following exercises, simplify. 547. (a)...Ch. 9.8 - In the following exercises, simplify. 548. (a)...Ch. 9.8 - In the following exercises, simplify. 549. (a)...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, simplify. 554. (a)...Ch. 9.8 - In the following exercises, simplify. 555. (a)...Ch. 9.8 - In the following exercises, simplify. 556. (a)...Ch. 9.8 - In the following exercises, simplify. 557. (a)...Ch. 9.8 - In the following exercises, simplify. 558. (a)...Ch. 9.8 - In the following exercises, simplify. 559. (a)...Ch. 9.8 - In the following exercises, simplify. 560. (a)...Ch. 9.8 - In the following exercises, simplify. 561. (a)...Ch. 9.8 - In the following exercises, simplify. 562. (a) 932...Ch. 9.8 - In the following exercises, simplify. 563. (a)...Ch. 9.8 - In the following exercises, simplify. 564. (a)...Ch. 9.8 - In the following exercises, simplify. 565. (a)...Ch. 9.8 - In the following exercises, simplify. 566. (a)...Ch. 9.8 - In the following exercises, simplify. 567. (a)...Ch. 9.8 - In the following exercises, simplify. 568. (a)...Ch. 9.8 - In the following exercises, simplify. 569. (a...Ch. 9.8 - In the following exercises, simplify. 570. (a)...Ch. 9.8 - In the following exercises, simplify. 571. (a) (a...Ch. 9.8 - In the following exercises, simplify. 572. (a) (x...Ch. 9.8 - In the following exercises, simplify. 573. (a)...Ch. 9.8 - In the following exercises, simplify. 574. (a)...Ch. 9.8 - In the following exercises, simplify. 575. (a) s...Ch. 9.8 - In the following exercises, simplify. 576. (a) t...Ch. 9.8 - In the following exercises, simplify. 577. (a) u...Ch. 9.8 - In the following exercises, simplify. 578. (a) (9p...Ch. 9.8 - In the following exercises, simplify. 579. (a)...Ch. 9.8 - In the following exercises, simplify. 580. (a)...Ch. 9.8 - In the following exercises, simplify. 581. (a)...Ch. 9.8 - In the following exercises, simplify. 582. (a)...Ch. 9.8 - In the following exercises, simplify. 583. (a)...Ch. 9.8 - In the following exercises, simplify. 584. (a)...Ch. 9.8 - In the following exercises, simplify. 585. (a) (r...Ch. 9.8 - In the following exercises, simplify. 586. (a)...Ch. 9.8 - In the following exercises, simplify. 587. (a)...Ch. 9.8 - In the following exercises, simplify. 588. (a)...Ch. 9.8 - In the following exercises, simplify. 589. (a)...Ch. 9.8 - In the following exercises, simplify. 590. 452412Ch. 9.8 - In the following exercises, simplify. 591. n26n46Ch. 9.8 - In the following exercises, simplify. 592. (a...Ch. 9.8 - In the following exercises, simplify. 593. (b...Ch. 9.8 - In the following exercises, simplify. 594. w25w75Ch. 9.8 - In the following exercises, simplify. 595. z23z83Ch. 9.8 - In the following exercises, simplify. 596. (27r 3...Ch. 9.8 - In the following exercises, simplify. 597. (64s 3...Ch. 9.8 - In the following exercises, simplify. 598. (r9s...Ch. 9.8 - In the following exercises, simplify. 599. (u 12v...Ch. 9.8 - Landscaping Joe wants to have a square garden plot...Ch. 9.8 - Landscaping Elliott wants to make a square patio...Ch. 9.8 - Gravity While putting up holiday decorations, Bob...Ch. 9.8 - Gravity An airplane dropped a flare from a height...Ch. 9.8 - Show two different algebraic methods to simplify...Ch. 9.8 - Explain why the expression (16)32 cannot be...Ch. 9 - In the following exercises, simplify. 606. 64Ch. 9 - In the following exercises, simplify. 607. 144Ch. 9 - In the following exercises, simplify. 608. 25Ch. 9 - In the following exercises, simplify. 609. 81Ch. 9 - In the following exercises, simplify. 610. 9Ch. 9 - In the following exercises, simplify. 611. 36Ch. 9 - In the following exercises, simplify. 612. 64+225Ch. 9 - In the following exercises, simplify. 613. 64+225Ch. 9 - In the following exercises, estimate each square...Ch. 9 - In the following exercises, estimate each square...Ch. 9 - In the following exercises, approximate each...Ch. 9 - In the following exercises, approximate each...Ch. 9 - In the following exercises, simplify. 618. q2Ch. 9 - In the following exercises, simplify. 619. 64b2Ch. 9 - In the following exercises, simplify. 620. 121a2Ch. 9 - In the following exercises, simplify. 621. 225m2n2Ch. 9 - In the following exercises, simplify. 622. 100q2Ch. 9 - In the following exercises, simplify. 623. 49y2Ch. 9 - In the following exercises, simplify. 624. 4a2b2Ch. 9 - In the following exercises, simplify. 625. 121c2d2Ch. 9 - In the following exercises, simplify. 626. 300Ch. 9 - In the following exercises, simplify. 627. 98Ch. 9 - In the following exercises, simplify. 628. x13Ch. 9 - In the following exercises, simplify. 629. y19Ch. 9 - In the following exercises, simplify. 630. 16m4Ch. 9 - In the following exercises, simplify. 631. 36n13Ch. 9 - In the following exercises, simplify. 632. 288m21Ch. 9 - In the following exercises, simplify. 633. 150n7Ch. 9 - In the following exercises, simplify. 634. 48r5s4Ch. 9 - In the following exercises, simplify. 635. 108r5s3Ch. 9 - In the following exercises, simplify. 636. 10505Ch. 9 - In the following exercises, simplify. 637. 6+726Ch. 9 - In the following exercises, simplify. 638. 1625Ch. 9 - In the following exercises, simplify. 639. 8136Ch. 9 - In the following exercises, simplify. 640. x8x4Ch. 9 - In the following exercises, simplify. 641. y6y2Ch. 9 - In the following exercises, simplify. 642. 98p62p2Ch. 9 - In the following exercises, simplify. 643. 72q82q4Ch. 9 - In the following exercises, simplify. 644. 65121Ch. 9 - In the following exercises, simplify. 645. 26169Ch. 9 - In the following exercises, simplify. 646....Ch. 9 - In the following exercises, simplify. 647. 36r...Ch. 9 - In the following exercises, simplify. 648....Ch. 9 - In the following exercises, simplify. 649....Ch. 9 - In the following exercises, simplify. 650. 32+2Ch. 9 - In the following exercises, simplify. 651. 55+75Ch. 9 - In the following exercises, simplify. 652. 4y+4yCh. 9 - In the following exercises, simplify. 653. 6m2mCh. 9 - In the following exercises, simplify. 654. 37+277Ch. 9 - In the following exercises, simplify. 655....Ch. 9 - In the following exercises, simplify. 656....Ch. 9 - In the following exercises, simplify. 657....Ch. 9 - In the following exercises, simplify. 658. 32+32Ch. 9 - In the following exercises, simplify. 659. 8+32Ch. 9 - In the following exercises, simplify. 660. 72+50Ch. 9 - In the following exercises, simplify. 661. 48+75Ch. 9 - In the following exercises, simplify. 662. 332+98Ch. 9 - In the following exercises, simplify. 663....Ch. 9 - In the following exercises, simplify. 664....Ch. 9 - In the following exercises, simplify. 665....Ch. 9 - In the following exercises, simplify. 666. 220Ch. 9 - In the following exercises, simplify. 667. 22614Ch. 9 - In the following exercises, simplify. 668. 2m220m4Ch. 9 - In the following exercises, simplify. 669....Ch. 9 - In the following exercises, simplify. 670....Ch. 9 - In the following exercises, simplify. 671. (8)2Ch. 9 - In the following exercises, simplify. 672. ( 10)2Ch. 9 - In the following exercises, simplify. 673....Ch. 9 - In the following exercises, simplify. 674....Ch. 9 - In the following exercises, simplify. 675. 10(27)Ch. 9 - In the following exercises, simplify. 676. 3(4+12)Ch. 9 - In the following exercises, simplify. 677....Ch. 9 - In the following exercises, simplify. 678....Ch. 9 - In the following exercises, simplify. 679....Ch. 9 - In the following exercises, simplify. 680....Ch. 9 - In the following exercises, simplify. 681. (1+6p)2Ch. 9 - In the following exercises, simplify. 682. (265)2Ch. 9 - In the following exercises, simplify. 683....Ch. 9 - In the following exercises, simplify. 684....Ch. 9 - In the following exercises, simplify. 685. 7510Ch. 9 - In the following exercises, simplify. 686. 2126Ch. 9 - In the following exercises, simplify. 687. 4827Ch. 9 - In the following exercises, simplify. 688. 75x73x3Ch. 9 - In the following exercises, simplify. 689. 20y52yCh. 9 - In the following exercises, simplify. 690....Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve. Round...Ch. 9 - In the following exercises, solve. Round...Ch. 9 - In the following exercises, solve. Round...Ch. 9 - In the following exercises, simplify. 721. (a) 646...Ch. 9 - In the following exercises, simplify. 722. (a) 273...Ch. 9 - In the following exercises, simplify. 723. (a) d99...Ch. 9 - In the following exercises, simplify. 724. (a)...Ch. 9 - In the following exercises, simplify. 725. (a)...Ch. 9 - In the following exercises, simplify. 726. (a)...Ch. 9 - In the following exercises, simplify. 727. (a) d99...Ch. 9 - In the following exercises, simplify. 728. (a) 543...Ch. 9 - In the following exercises, simplify. 729. (a)...Ch. 9 - In the following exercises, simplify. 730. (a)...Ch. 9 - In the following exercises, simplify. 731. (a)...Ch. 9 - In the following exercises, simplify. 732. r 10r55Ch. 9 - In the following exercises, simplify. 733. w 12w23Ch. 9 - In the following exercises, simplify. 734....Ch. 9 - In the following exercises, simplify. 735....Ch. 9 - In the following exercises, simplify. 736. 64a7b26Ch. 9 - In the following exercises, simplify. 737....Ch. 9 - In the following exercises, simplify. 738....Ch. 9 - In the following exercises, simplify. 739....Ch. 9 - In the following exercises, simplify. 740....Ch. 9 - In the following exercises, simplify. 741....Ch. 9 - In the following exercises, write as a radical...Ch. 9 - In the following exercises, write as a radical...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, simplify. 748. 1614Ch. 9 - In the following exercises, simplify. 749. 3215Ch. 9 - In the following exercises, simplify. 750. (125)13Ch. 9 - In the following exercises, simplify. 751. (125)13Ch. 9 - In the following exercises, simplify. 752. (9)12Ch. 9 - In the following exercises, simplify. 753. (36)12Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, simplify. 756. 2723Ch. 9 - In the following exercises, simplify. 757. 6452Ch. 9 - In the following exercises, simplify. 758. 3632Ch. 9 - In the following exercises, simplify. 759. 8152Ch. 9 - In the following exercises, simplify. 760. 345365Ch. 9 - In the following exercises, simplify. 761. (x6)43Ch. 9 - In the following exercises, simplify. 762. z52z75Ch. 9 - In the following exercises, simplify. 763. (16s 9...Ch. 9 - In the following exercises, simplify. 764. (m8n...Ch. 9 - In the following exercises, simplify. 765....Ch. 9 - In the following exercises, simplify. 766. 81+144Ch. 9 - In the following exercises, simplify. 767. 169m4n2Ch. 9 - In the following exercises, simplify. 768. 36n13Ch. 9 - In the following exercises, simplify. 769....Ch. 9 - In the following exercises, simplify. 770....Ch. 9 - In the following exercises, simplify. 771....Ch. 9 - In the following exercises, simplify. 772....Ch. 9 - In the following exercises, simplify. 773. (12q)2Ch. 9 - In the following exercises, simplify. 774. (a)...Ch. 9 - In the following exercises, simplify. 775. (a)...Ch. 9 - In the following exercises, simplify. 776. 64r...Ch. 9 - In the following exercises, simplify. 777. 14y37yCh. 9 - In the following exercises, simplify. 778....Ch. 9 - In the following exercises, simplify. 779....Ch. 9 - In the following exercises, simplify. 780. (a)...Ch. 9 - In the following exercises, simplify. 781. 4932Ch. 9 - In the following exercises, simplify. 782. 2552Ch. 9 - In the following exercises, simplify. 783. w34w74Ch. 9 - In the following exercises, simplify. 784. (27s 3...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, solve. 787. 32x320=7Ch. 9 - In the following exercises, solve. 788. 3u2=5u+1Ch. 9 - In the following exercise, solve. 789. A...

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NOTE: Write your answers using interval notation when appropriate. CHECKING ANALYTIC SKILLS Fill in each blank ...

A Graphical Approach to College Algebra (6th Edition)

The numbers in the set { x|x = a b , where a, b are integers and b ≠ 0 } are called ---------- numbers.

College Algebra (10th Edition)

1. How many solutions are there to ax + b = 0 with ?

College Algebra with Modeling & Visualization (6th Edition)

Solve each formula for the given letter . [2.3] What percent of 60 is 42? [2.4]

Elementary and Intermediate Algebra

In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 158. 7,14,28,56...

Intermediate Algebra

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