Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Chapter 8.4, Problem 239E

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Chapter 8 Solutions

Intermediate Algebra

Ch. 8.1 - Simplify: (a) 64 (b) 225 .Ch. 8.1 - Simplify: (a) 100 (b) 121 .Ch. 8.1 - Simplify: (a) 169 (b) 81 .Ch. 8.1 - Simplify: (a) 49 (b) 121 .Ch. 8.1 - Simplify: (a) 273 (b) 2564 (c) 2435 .Ch. 8.1 - Simplify: (a) 10003 (b) 164 (c) 2435 .Ch. 8.1 - Simplify: (a) 273 (b) 2564 (c) 325 .Ch. 8.1 - Simplify: (a) 2163 (b) 814 (c) 10245 .Ch. 8.1 - Estimate each root between two consecutive whole...Ch. 8.1 - Estimate each root between two consecutive whole...
Ch. 8.1 - Round to two decimal places: (a) 11 (b) 713 (c)...Ch. 8.1 - Round to two decimal places: (a) 13 (b) 843 (c)...Ch. 8.1 - Simplify:(a) b2 (b) w33 (c) m44 (d) q55 .Ch. 8.1 - Simplify:(a) y2 (b) p33 (c) z44 (d) q55 .Ch. 8.1 - Simplify: (a) y18 (b) z12 .Ch. 8.1 - Simplify: (a) m4 (b) b10 .Ch. 8.1 - Simplify: (a) u124 (b) v153 .Ch. 8.1 - Simplify: (a) c205 (b) d246Ch. 8.1 - Simplify: (a) 64x2 (b) 100p2 .Ch. 8.1 - Simplify: (a) 169y2 (b) 121y2 .Ch. 8.1 - Simplify: (a) 27x273 (b) 81q284 .Ch. 8.1 - Simplify: (a) 125q93 (b) 243q255 .Ch. 8.1 - Simplify: (a) 100a2b2 (b) 144p12q20 (c) 8x30y123 .Ch. 8.1 - Simplify: (a) 225m2n2 (b) 169x10y14 (c) 27w36z153...Ch. 8.1 - In the following exercises, simplify. 1. (a) 64...Ch. 8.1 - In the following exercises, simplify. 2. (a) 169...Ch. 8.1 - In the following exercises, simplify. 3. (a) 196...Ch. 8.1 - In the following exercises, simplify. 4. (a) 144...Ch. 8.1 - In the following exercises, simplify. 5. (a) 49...Ch. 8.1 - In the following exercises, simplify. 6. (a) 64121...Ch. 8.1 - In the following exercises, simplify. 7. (a) 121...Ch. 8.1 - In the following exercises, simplify. 8. (a) 400...Ch. 8.1 - In the following exercises, simplify. 9. (a) 225...Ch. 8.1 - In the following exercises, simplify. 10. (a) 49...Ch. 8.1 - In the following exercises, simplify. 11. (a) 2163...Ch. 8.1 - In the following exercises, simplify. 12. (a) 273...Ch. 8.1 - In the following exercises, simplify. 13. (a) 5123...Ch. 8.1 - In the following exercises, simplify. 14. (a) 1253...Ch. 8.1 - In the following exercises, simplify. 15. (a) 83...Ch. 8.1 - In the following exercises, simplify. 16. (a) 643...Ch. 8.1 - In the following exercises, simplify. 17. (a) 1253...Ch. 8.1 - In the following exercises, simplify. 18. (a) 5123...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - Why is there no real number equal to 64 ?Ch. 8.1 - What is the difference between 92 and 9 ?Ch. 8.1 - Explain what is meant by the nthroot of a number.Ch. 8.1 - Explain the difference of finding the nthroot of a...Ch. 8.2 - Simplify: 48 .Ch. 8.2 - Simplify: 45 .Ch. 8.2 - Simplify: (a) 288 (b) 813 (c) 644 .Ch. 8.2 - Simplify: (a) 432 (b) 6253 (c) 7294 .Ch. 8.2 - Simplify: (a) b5 (b) y64 (c) z53 .Ch. 8.2 - Simplify: (a) p9 (b) y85 (c) q136 .Ch. 8.2 - Simplify: (a) 32y5 (b) 54p103 (c) 64q104 .Ch. 8.2 - Simplify: (a) 75a9 (b) 128m113 (c) 162n74 .Ch. 8.2 - Simplify: (a) 98a7b5 (b) 56x5y43 (c) 32x5y84 .Ch. 8.2 - Simplify: (a) 180m9n11 (b) 72x6y53 (c) 80x7y44 .Ch. 8.2 - Simplify: (a) 643 (b) 814 .Ch. 8.2 - Simplify: (a) 6253 (b) 3244 .Ch. 8.2 - Simplify: (a) 5+75 (b) 10755 .Ch. 8.2 - Simplify: (a) 2+98 (b) 6453 .Ch. 8.2 - Simplify: (a) 7548(b) 542503(c) 321624.Ch. 8.2 - Simplify: (a) 98162 (b) 243753 (c) 43244 .Ch. 8.2 - Simplify: (a) a8a6 (b) x7x34 (c) y 17y54 .Ch. 8.2 - Simplify: (a) x 14x 10 (b) m 13m73 (c) n 12n25 .Ch. 8.2 - Simplify: 24p349 .Ch. 8.2 - Simplify: 48x5100 .Ch. 8.2 - Simplify: (a) 80m3n6 (b) 108c 10d63 (c) 80x 10y44...Ch. 8.2 - Simplify: (a) 54u7v8 (b) 40r3s63 (c) 162m 14n 124...Ch. 8.2 - Simplify: (a) 54x5y372x4y (b) 16x5y754x2y23 (c)...Ch. 8.2 - Simplify: (a) 48m7n2100m5n8 (b) 54x7y5250x2y23 (c)...Ch. 8.2 - Simplify: (a) 98z52z (b) 500323 (c) 486m 1143m54 .Ch. 8.2 - Simplify: (a) 128m92m (b) 192333 (c) 324n742n34 .Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - Explain why x4=x2 . Then explain why x16=x8 .Ch. 8.2 - Explain why 7+9 is not equal to 7+9 .Ch. 8.2 - Explain how you know that x105=x2 .Ch. 8.2 - Explain why 644 is not a real number but 643 is.Ch. 8.3 - Write as a radical expression: (a) t12 (b) m13 (c)...Ch. 8.3 - Write as a radical expression: (a) b16 (b) z15 (c)...Ch. 8.3 - Write with a rational exponent: (a) 10m (b) 3n5...Ch. 8.3 - Write with a rational exponent: (a) 3k7 (b) 5j4...Ch. 8.3 - Simplify: (a) 3612 (b) 813 (c) 1614 .Ch. 8.3 - Simplify: (a) 10012 (b) 2713 (c) 8114 .Ch. 8.3 - Simplify: (a) (64)12 (b) 6412 (c) (64)12 .Ch. 8.3 - Simplify: (a) (256)14 (b) 25614 (c) (256)14 .Ch. 8.3 - Write with a rational exponent: (a) x5 (b) ( 3y4)3...Ch. 8.3 - Write with a rational exponent: (a) a25 (b) (...Ch. 8.3 - Simplify: (a) 2723 (b) 8132 (c) 1634 .Ch. 8.3 - Simplify: (a) 432 (b) 2723 (c) 62534 .Ch. 8.3 - Simplify: (a) 1632 (b) 1632 (c) (16)32 .Ch. 8.3 - Simplify: (a) 8132 (b) 8132 (c) (81)32 .Ch. 8.3 - Simplify: (a) x16x13 (b) (x6)43 (c) x23x53 .Ch. 8.3 - Simplify: (a) y34y58 (b) (m9)29 (c) d15d65 .Ch. 8.3 - Simplify: (a) (32x 1 3 )35 (b) (x 3 4 y 1 2 )23 .Ch. 8.3 - Simplify: (a) (81n 2 5 )32 (b) (a 3 2 b 1 2 )43 .Ch. 8.3 - Simplify: (a) m23m13m53 (b) ( 25 m 1 6 n 11 6 m 2...Ch. 8.3 - Simplify: (a) u45u25u 135 (b) ( 27 x 4 5 y 1 6 x 1...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, simplify. 129. (a)...Ch. 8.3 - In the following exercises, simplify. 130. (a)...Ch. 8.3 - In the following exercises, simplify. 131. (a)...Ch. 8.3 - In the following exercises, simplify. 132. (a)...Ch. 8.3 - In the following exercises, simplify. 133. (a)...Ch. 8.3 - In the following exercises, simplify. 134. (a)...Ch. 8.3 - In the following exercises, simplify. 135. (a)...Ch. 8.3 - In the following exercises, simplify. 136. (a)...Ch. 8.3 - In the following exercises, simplify. 137. (a)...Ch. 8.3 - In the following exercises, simplify. 138. (a)...Ch. 8.3 - In the following exercises, simplify. 139. (a)...Ch. 8.3 - In the following exercises, simplify. 140. (a)...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, simplify. 145. (a)...Ch. 8.3 - In the following exercises, simplify. 146. (a)...Ch. 8.3 - In the following exercises, simplify. 147. (a)...Ch. 8.3 - In the following exercises, simplify. 148. (a)...Ch. 8.3 - In the following exercises, simplify. 149. (a) 932...Ch. 8.3 - In the following exercises, simplify. 150. (a)...Ch. 8.3 - In the following exercises, simplify. 151. (a)...Ch. 8.3 - In the following exercises, simplify. 152. (a)...Ch. 8.3 - In the following exercises, simplify. 153. (a)...Ch. 8.3 - In the following exercises, simplify. 154. (a)...Ch. 8.3 - In the following exercises, simplify. 155. (a)...Ch. 8.3 - In the following exercises, simplify. 156. (a)...Ch. 8.3 - In the following exercises, simplify. 157. (a)...Ch. 8.3 - In the following exercises, simplify. 158. (a)...Ch. 8.3 - In the following exercises, simplify. 159. (a)...Ch. 8.3 - In the following exercises, simplify. 160. (a)...Ch. 8.3 - In the following exercises, simplify. 161. (a)...Ch. 8.3 - In the following exercises, simplify. 162. (a)...Ch. 8.3 - Show two different algebraic methods to simplify...Ch. 8.3 - Explain why the expression (16)32 cannot be...Ch. 8.4 - Simplify: (a) 8292 (b) 4x3+7x3 (c) 3x45y4.Ch. 8.4 - Simplify: (a) 5393 (b) 5y3+3y3 (c) 5m42m3.Ch. 8.4 - Simplify: (a) 7x77x+47x (b) 45xy4+25xy475xy4.Ch. 8.4 - Simplify: (a) 43y73y+23y (b) 67mn3+7mn347mn3.Ch. 8.4 - Simplify: (a) 18+62 (b) 616322503 (c) 2381312243.Ch. 8.4 - Simplify: (a) 27+43 (b) 4537403 (c) 12128353543.Ch. 8.4 - Simplify: (a) 32m750m7 (b) 135x7340x73.Ch. 8.4 - Simplify: (a) 27p348p3 (b) 256y5332n53.Ch. 8.4 - Simplify: (a) (32)(230) (b) (2183)(363).Ch. 8.4 - Simplify: (a) (33)(36) (b) (493)(363).Ch. 8.4 - Simplify: (a) (66x2)(830x4) (b) (412y34)(8y34).Ch. 8.4 - Simplify: (a) (26y4)(1230y) (b) (49a34)(327a24).Ch. 8.4 - Simplify: (a) 16(1+36) (b) 43(263).Ch. 8.4 - Simplify: a. 8(258) b. 33(39363).Ch. 8.4 - Simplify: (a) (637)(3+47) (b) (x32)(x33).Ch. 8.4 - Simplify: (a) (2311)(411) (b) (x3+)(x3+3).Ch. 8.4 - Simplify: (537)(3+27)Ch. 8.4 - Simplify: (638)(26+8)Ch. 8.4 - Simplify: (a) (10+2)2 (b) (1+36)2.Ch. 8.4 - Simplify: (a) (65)2 (b) (92 10)2.Ch. 8.4 - Simplify: (325)(3+25)Ch. 8.4 - Simplify: (4+57)(457).Ch. 8.4 - In the following exercises, simplify. 165. a. 8252...Ch. 8.4 - In the following exercises, simplify. 166. a. 7232...Ch. 8.4 - In the following exercises, simplify. 167. a....Ch. 8.4 - In the following exercises, simplify. 168. a....Ch. 8.4 - In the following exercises, simplify. 169. a....Ch. 8.4 - In the following exercises, simplify. 170. a....Ch. 8.4 - In the following exercises, simplify. 171. a....Ch. 8.4 - In the following exercises, simplify. 172. a....Ch. 8.4 - In the following exercises, simplify. 173. a. 2775...Ch. 8.4 - In the following exercises, simplify. 174. a. 7298...Ch. 8.4 - In the following exercises, simplify. 175. a....Ch. 8.4 - In the following exercises, simplify. 176. a....Ch. 8.4 - In the following exercises, simplify. 177. a....Ch. 8.4 - In the following exercises, simplify. 178. a....Ch. 8.4 - In the following exercises, simplify. 179. a....Ch. 8.4 - Prob. 180ECh. 8.4 - Prob. 181ECh. 8.4 - Prob. 182ECh. 8.4 - Prob. 183ECh. 8.4 - In the following exercises, simplify. 184. a....Ch. 8.4 - In the following exercises, simplify. 185. a....Ch. 8.4 - In the following exercises, simplify. 186. a....Ch. 8.4 - In the following exercises, simplify. 187. a....Ch. 8.4 - In the following exercises, simplify. 188. a....Ch. 8.4 - In the following exercises, simplify. 189. a....Ch. 8.4 - In the following exercises, simplify. 190. a....Ch. 8.4 - In the following exercises, multiply. 191. a....Ch. 8.4 - In the following exercises, multiply. 192. a....Ch. 8.4 - In the following exercises, multiply. 193. a....Ch. 8.4 - In the following exercises, multiply. 194. a....Ch. 8.4 - In the following exercises, multiply. 195....Ch. 8.4 - In the following exercises, multiply. 196....Ch. 8.4 - In the following exercises, multiply. 197. a....Ch. 8.4 - In the following exercises, multiply. 198. a....Ch. 8.4 - In the following exercises, multiply. 199. a....Ch. 8.4 - In the following exercises, multiply. 200. a....Ch. 8.4 - In the following exercises, multiply. 201....Ch. 8.4 - In the following exercises, multiply. 202....Ch. 8.4 - In the following exercises, multiply. 203....Ch. 8.4 - In the following exercises, multiply. 204....Ch. 8.4 - In the following exercises, multiply. 205. a....Ch. 8.4 - In the following exercises, multiply. 206. a. (4+...Ch. 8.4 - In the following exercises, multiply. 207. a....Ch. 8.4 - In the following exercises, multiply. 208. a. (5...Ch. 8.4 - In the following exercises, multiply. 209....Ch. 8.4 - In the following exercises, multiply. 210....Ch. 8.4 - In the following exercises, multiply. 211....Ch. 8.4 - In the following exercises, multiply. 212....Ch. 8.4 - In the following exercises, multiply. 213....Ch. 8.4 - In the following exercises, multiply. 214....Ch. 8.4 - In the following exercises, multiply. 215....Ch. 8.4 - In the following exercises, multiply. 216....Ch. 8.4 - 2327+3448Ch. 8.4 - 175k463k4Ch. 8.4 - 56162+316128Ch. 8.4 - 243+/813Ch. 8.4 - 12804234054Ch. 8.4 - 813441343134Ch. 8.4 - 512c4327c6Ch. 8.4 - 80a545a5Ch. 8.4 - 35751448Ch. 8.4 - 2193293Ch. 8.4 - 864q633125q63Ch. 8.4 - 11111011Ch. 8.4 - 321Ch. 8.4 - (46)(18)Ch. 8.4 - (743)(3183)Ch. 8.4 - (412x5)(26x3)Ch. 8.4 - ( 29)2Ch. 8.4 - (417)(317)Ch. 8.4 - (4+17)(3+17)Ch. 8.4 - (38a24)(12a34)Ch. 8.4 - (632)2Ch. 8.4 - 3(433)Ch. 8.4 - 33(293+183)Ch. 8.4 - (6+3)(6+63)Ch. 8.4 - Explain the when a radical expression is in...Ch. 8.4 - Explain the process for determining whether two...Ch. 8.4 - Explain why (n)2 is always non-negative, for n0....Ch. 8.4 - Use the binomial square pattern to simplify...Ch. 8.5 - Simplify: (a) 50s3128s (b) 56a37a43.Ch. 8.5 - Simplify: (a) 75q5108q (b) 72b239b53.Ch. 8.5 - Simplify: (a) 162x 10y22x6y6 (b) 128x2y 132x 1y23.Ch. 8.5 - Simplify: (a) 300m3n73m5n (b) 81pq 133p 2q53.Ch. 8.5 - Simplify: 64x4y52xy3.Ch. 8.5 - Simplify: 96a5b42a3b.Ch. 8.5 - Simplify: (a) 513 (b) 332 (c) 22x.Ch. 8.5 - Simplify: (a) 65 (b) 718 (c) 55x.Ch. 8.5 - Simplify: (a) 173 (b) 5123 (c) 59y3.Ch. 8.5 - Simplify: (a) 123 (b) 3203 (c) 225n3.Ch. 8.5 - Simplify: (a) 134 (b) 3644 (c) 3125x4.Ch. 8.5 - Simplify: (a) 154 (b) 71284 (c) 44x4Ch. 8.5 - Simplify: 315.Ch. 8.5 - Simplify: 246.Ch. 8.5 - Simplify: 5x+2.Ch. 8.5 - Simplify: 10y3.Ch. 8.5 - Simplify: p+2p2.Ch. 8.5 - Simplify: q10q+10Ch. 8.5 - In the following exercises, simplify. 245. a....Ch. 8.5 - In the following exercises, simplify. 246. a. 4875...Ch. 8.5 - In the following exercises, simplify. 247. a....Ch. 8.5 - In the following exercises, simplify. 248. a....Ch. 8.5 - In the following exercises, simplify. 249. a....Ch. 8.5 - In the following exercises, simplify. 250. a....Ch. 8.5 - In the following exercises, simplify. 251. a....Ch. 8.5 - In the following exercises, simplify. 252. a. 98rs...Ch. 8.5 - In the following exercises, simplify. 253. a....Ch. 8.5 - In the following exercises, simplify. 254. a. 810c...Ch. 8.5 - In the following exercises, simplify. 255....Ch. 8.5 - In the following exercises, simplify. 256....Ch. 8.5 - In the following exercises, simplify. 257....Ch. 8.5 - In the following exercises, simplify. 258. 162x...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, simplify. 271. 815Ch. 8.5 - In the following exercises, simplify. 272. 726Ch. 8.5 - In the following exercises, simplify. 273. 637Ch. 8.5 - In the following exercises, simplify. 274. 5411Ch. 8.5 - In the following exercises, simplify. 275. 3m5Ch. 8.5 - In the following exercises, simplify. 276. 5n7Ch. 8.5 - In the following exercises, simplify. 277. 2x6Ch. 8.5 - In the following exercises, simplify. 278. 7y+3Ch. 8.5 - In the following exercises, simplify. 279. r+5r5Ch. 8.5 - In the following exercises, simplify. 280. s6s+6Ch. 8.5 - In the following exercises, simplify. 281. x+8x8Ch. 8.5 - In the following exercises, simplify. 282. m3m+3Ch. 8.5 - a. Simplify 273 and explain all your steps. b....Ch. 8.5 - Explain what is meant by the word rationalize in...Ch. 8.5 - Explain why multiplying 2x3 by its conjugate...Ch. 8.5 - Explain why multiplying 7x3 by x3x3 does not...Ch. 8.6 - Solve: 3m+25=0.Ch. 8.6 - Solve: 10z+12=0.Ch. 8.6 - Solve: 2r3+5=0.Ch. 8.6 - Solve: 7s3+2=0.Ch. 8.6 - Solve: x2+2=x.Ch. 8.6 - Solve: y5+5=y.Ch. 8.6 - Solve: 4x33+8=5Ch. 8.6 - Solve: 6x103+1=3Ch. 8.6 - Solve: (9x+9)142=1.Ch. 8.6 - Solve: (4x8)14+5=7.Ch. 8.6 - Solve: m+9m+3=0.Ch. 8.6 - Solve: n+1n+1=0.Ch. 8.6 - Solve: 24a+416=16.Ch. 8.6 - Solve: 32b+325=50.Ch. 8.6 - Solve: 5x43=2x+53.Ch. 8.6 - Solve: 7x+13=2x53.Ch. 8.6 - Solve: 3x=x3.Ch. 8.6 - Solve: x+2=x+16.Ch. 8.6 - Solve: x1+2=2x+6Ch. 8.6 - Solve: x+2=3x+4Ch. 8.6 - A helicopter dropped a rescue package from a...Ch. 8.6 - A window washer dropped a squeegee from a platform...Ch. 8.6 - An accident investigator measured the skid marks...Ch. 8.6 - The skid marks of a vehicle involved in an...Ch. 8.6 - In the following exercises, solve. 287. 5x6=8Ch. 8.6 - In the following exercises, solve. 288. 4x3=7Ch. 8.6 - In the following exercises, solve. 289. 5x+1=3Ch. 8.6 - In the following exercises, solve. 290. 3y4=2Ch. 8.6 - In the following exercises, solve. 291. 2x3=2Ch. 8.6 - In the following exercises, solve. 292. 4x13=3Ch. 8.6 - In the following exercises, solve. 293. 2m35=0Ch. 8.6 - In the following exercises, solve. 294. 2n13=0Ch. 8.6 - In the following exercises, solve. 295. 6v210=0Ch. 8.6 - In the following exercises, solve. 296. 12u+111=0Ch. 8.6 - In the following exercises, solve. 297. 4m+2+2=6Ch. 8.6 - In the following exercises, solve. 298. 6n+1+4=8Ch. 8.6 - In the following exercises, solve. 299. 2u3+2=0Ch. 8.6 - In the following exercises, solve. 300. 5v2+5=0Ch. 8.6 - In the following exercises, solve. 301. u33=uCh. 8.6 - In the following exercises, solve. 302. v10+10=vCh. 8.6 - In the following exercises, solve. 303. r1=r1Ch. 8.6 - In the following exercises, solve. 304. s8=s8Ch. 8.6 - In the following exercises, solve. 305. 6x+43=4Ch. 8.6 - In the following exercises, solve. 306. 11x+43=5Ch. 8.6 - In the following exercises, solve. 307. 4x+532=5Ch. 8.6 - In the following exercises, solve. 308. 9x131=5Ch. 8.6 - In the following exercises, solve. 309....Ch. 8.6 - In the following exercises, solve. 310....Ch. 8.6 - In the following exercises, solve. 311....Ch. 8.6 - In the following exercises, solve. 312....Ch. 8.6 - In the following exercises, solve. 313....Ch. 8.6 - In the following exercises, solve. 314....Ch. 8.6 - In the following exercises, solve. 315. x+1x+1=0Ch. 8.6 - In the following exercises, solve. 316. y+4y+2=0Ch. 8.6 - In the following exercises, solve. 317. z+100z=10Ch. 8.6 - In the following exercises, solve. 318. w+25w=5Ch. 8.6 - In the following exercises, solve. 319. 32x320=7Ch. 8.6 - In the following exercises, solve. 320. 25x+18=0Ch. 8.6 - In the following exercises, solve. 321. 28r+18=2Ch. 8.6 - In the following exercises, solve. 322. 37y+110=8Ch. 8.6 - In the following exercises, solve. 323. 3u+7=5u+1Ch. 8.6 - In the following exercises, solve. 324. 4v+1=3v+3Ch. 8.6 - In the following exercises, solve. 325. 8+2r=3r+10Ch. 8.6 - In the following exercises, solve. 326....Ch. 8.6 - In the following exercises, solve. 327. 5x13=x+33Ch. 8.6 - In the following exercises, solve. 328. 8x53=3x+53Ch. 8.6 - In the following exercises, solve. 329....Ch. 8.6 - In the following exercises, solve. 330....Ch. 8.6 - In the following exercises, solve. 331. a+2=a+4Ch. 8.6 - In the following exercises, solve. 332. r+6=r+8Ch. 8.6 - In the following exercises, solve. 333. u+1=u+4Ch. 8.6 - In the following exercises, solve. 334. x+1=x+2Ch. 8.6 - In the following exercises, solve. 335. a+5a=1Ch. 8.6 - In the following exercises, solve. 336. 2=d20dCh. 8.6 - In the following exercises, solve. 337. 2x+1=1+xCh. 8.6 - In the following exercises, solve. 338. 3x+1=1+2x1Ch. 8.6 - In the following exercises, solve. 339. 2x1x1=1Ch. 8.6 - In the following exercises, solve. 340. x+1x2=1Ch. 8.6 - In the following exercises, solve. 341. x+7x5=2Ch. 8.6 - In the following exercises, solve. 342. x+5x3=2Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - Explain why an equation of the form x+1=0 has no...Ch. 8.6 - a. Solve the equation r+4r+2=0. b. Explain why one...Ch. 8.7 - For the function f(x)=3x2, find a. f(6) b. f(0).Ch. 8.7 - For the function g(x)=5x+5, find a. g(4) b. g(3).Ch. 8.7 - For the function g(x)=3x43, find a. g(4) b. g(1).Ch. 8.7 - For the function h(x)=5x23, find a. h(2) b. h(5)....Ch. 8.7 - For the function f(x)=3x+44, find a. f(4) b. f(1).Ch. 8.7 - For the function g(x)=5x+14, find a. g(16) b....Ch. 8.7 - Find the domain of the function, f(x)=6x5, write...Ch. 8.7 - Find the domain of the function, f(x)45x. Write...Ch. 8.7 - Find the domain of the function, f(x)=4x+3. Write...Ch. 8.7 - Find the domain of the function, h(x)=9x5. Write...Ch. 8.7 - Find the domain of the function, f(x)=3x213. Write...Ch. 8.7 - Find the domain of the function, g(x)=5x43. Write...Ch. 8.7 - For the function f(x)=x+2, (a) find the domain (b)...Ch. 8.7 - For the function f(x)=x2 , (a) find the domain (b)...Ch. 8.7 - For the function f(x)=x3, find the domain (b)...Ch. 8.7 - For the function f(x)=x23, find the domain (b)...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - 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In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - Explain how to find the domain of a fourth root...Ch. 8.7 - Explain how to find the domain of a fifth root...Ch. 8.7 - Explain why y=x3 is a function.Ch. 8.7 - Explain why the process of finding the domain of a...Ch. 8.8 - Write each expression in terms of i and simplify...Ch. 8.8 - Write each expression in term of i and simplify if...Ch. 8.8 - Add: 8+32.Ch. 8.8 - Add: 27+48.Ch. 8.8 - Simplify: (a) (2+7i)+(42i) (b) (84i)(2i).Ch. 8.8 - Simplify: (a) (32i)+(54i) (b) (4+3i)(26i).Ch. 8.8 - Multiply: 4i(53i).Ch. 8.8 - Multiply: 3i(2+4i).Ch. 8.8 - Multiply: (53i)(12i)Ch. 8.8 - Multiply: (43i)(2+i)Ch. 8.8 - Multiply using the Binomial Squares pattern:...Ch. 8.8 - Multiply using the Binomial Squares pattern:...Ch. 8.8 - Multiply: 494.Ch. 8.8 - Multiply: 3681.Ch. 8.8 - Multiply: (412)(348).Ch. 8.8 - Multiply: (2+8)(318).Ch. 8.8 - Multiply: (43i)(4+3i).Ch. 8.8 - Multiply: (2+5i)(25i).Ch. 8.8 - Multiply using the Product of Complex Conjugates...Ch. 8.8 - Multiply using the Product of Complex Conjugates...Ch. 8.8 - Divide: 2+5i52i.Ch. 8.8 - Divide: 1+6i6i.Ch. 8.8 - Divide, writing the answer in standard form: 414i.Ch. 8.8 - Divide writing the answer in standard form: 21+2i.Ch. 8.8 - Divide: 3+3i2i.Ch. 8.8 - Divide: 2+4i5i.Ch. 8.8 - Simplify: i75.Ch. 8.8 - Simplify: i92.Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, add or subtract. 413....Ch. 8.8 - In the following exercises, add or subtract. 414....Ch. 8.8 - In the following exercises, add or subtract. 415....Ch. 8.8 - In the following exercises, add or subtract. 416....Ch. 8.8 - In the following exercises, add or subtract. 417....Ch. 8.8 - In the following exercises, add or subtract. 418....Ch. 8.8 - In the following exercises, add or subtract. 419....Ch. 8.8 - In the following exercises, add or subtract. 420....Ch. 8.8 - In the following exercises, add or subtract. 421....Ch. 8.8 - In the following exercises, add or subtract. 422....Ch. 8.8 - In the following exercises, add or subtract. 423....Ch. 8.8 - In the following exercises, add or subtract. 424....Ch. 8.8 - In the following exercises, add or subtract. 425....Ch. 8.8 - In the following exercises, add or subtract. 426....Ch. 8.8 - In the following exercises, add or subtract. 427....Ch. 8.8 - In the following exercises, add or subtract. 428....Ch. 8.8 - In the following exercises, multiply. 429. 4i(53i)Ch. 8.8 - In the following exercises, multiply. 430....Ch. 8.8 - In the following exercises, multiply. 431. 6i(32i)Ch. 8.8 - In the following exercises, multiply. 432. i(6+5i)Ch. 8.8 - In the following exercises, multiply. 433....Ch. 8.8 - In the following exercises, multiply. 434....Ch. 8.8 - In the following exercises, multiply. 435....Ch. 8.8 - In the following exercises, multiply. 436....Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply. 441. 2536Ch. 8.8 - In the following exercises, multiply. 442. 416Ch. 8.8 - In the following exercises, multiply. 443. 9100Ch. 8.8 - In the following exercises, multiply. 444. 649Ch. 8.8 - In the following exercises, multiply. 445....Ch. 8.8 - In the following exercises, multiply. 446....Ch. 8.8 - In the following exercises, multiply. 447....Ch. 8.8 - In the following exercises, multiply. 448....Ch. 8.8 - In the following exercises, multiply. 449....Ch. 8.8 - In the following exercises, multiply. 450....Ch. 8.8 - In the following exercises, multiply. 451....Ch. 8.8 - In the following exercises, multiply. 452....Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, divide. 457. 3+4i43iCh. 8.8 - In the following exercises, divide. 458. 52i2+5iCh. 8.8 - In the following exercises, divide. 459. 2+i34iCh. 8.8 - In the following exercises, divide. 460. 32i6+iCh. 8.8 - In the following exercises, divide. 461. 323iCh. 8.8 - In the following exercises, divide. 462. 245iCh. 8.8 - In the following exercises, divide. 463. 432iCh. 8.8 - In the following exercises, divide. 464. 13+2iCh. 8.8 - In the following exercises, divide. 465. 1+4i3iCh. 8.8 - In the following exercises, divide. 466. 4+3i7iCh. 8.8 - In the following exercises, divide. 467. 23i4iCh. 8.8 - In the following exercises, divide. 468. 35i2iCh. 8.8 - In the following exercises, simplify. 469. i41Ch. 8.8 - In the following exercises, simplify. 470. i39Ch. 8.8 - In the following exercises, simplify. 471. i66Ch. 8.8 - In the following exercises, simplify. 472. i48Ch. 8.8 - In the following exercises, simplify. 473. i128Ch. 8.8 - In the following exercises, simplify. 474. i162Ch. 8.8 - In the following exercises, simplify. 475. i137Ch. 8.8 - In the following exercises, simplify. 476. i255Ch. 8.8 - Explain the relationship between real numbers and...Ch. 8.8 - Aniket multiplied as follows and he got the wrong...Ch. 8.8 - Why is 64=8i but 643=4.Ch. 8.8 - Explain how dividing complex numbers is similar to...Ch. 8 - In the following exercises, simplify. 481. a. 225...Ch. 8 - In the following exercises, simplify. 482. a. 169...Ch. 8 - In the following exercises, simplify. 483. a. 83...Ch. 8 - In the following exercises, simplify. 484. a. 5123...Ch. 8 - In the following exercises, estimate each root...Ch. 8 - In the following exercises, approximate each root...Ch. 8 - 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In the following exercise, use the Quotient...Ch. 8 - In the following exercises, write as a radical...Ch. 8 - In the following exercises, write with a rational...Ch. 8 - In the following exercises, simplify. 509. a....Ch. 8 - In the following exercises, simplify. 510. a....Ch. 8 - In the following exercises, simplify. 511. a....Ch. 8 - In the following exercises, write with a rational...Ch. 8 - In the following exercises, simplify. 513. a. 2532...Ch. 8 - In the following exercises, simplify. 514. a. 6432...Ch. 8 - In the following exercises, simplify. 515. a....Ch. 8 - In the following exercises, simplify. 516. a....Ch. 8 - In the following exercises, simplify. 517. a. 7232...Ch. 8 - In the following exercises, simplify. 518. a....Ch. 8 - In the following exercises, simplify. 519. a....Ch. 8 - In the following exercises, simplify. 520. a....Ch. 8 - In the following exercises, simplify. 521....Ch. 8 - In the following exercises, simplify. 522. a....Ch. 8 - In the following exercises, simplify. 523. a....Ch. 8 - 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(4+...Ch. 8 - In the following exercises, multiply. 528....Ch. 8 - In the following exercises, multiply. 529....Ch. 8 - In the following exercises, simplify. 530. a. 4875...Ch. 8 - In the following exercises, simplify. 531. a....Ch. 8 - In the following exercises, rationalize the...Ch. 8 - In the following exercises, rationalize the...Ch. 8 - In the following exercises, rationalize the...Ch. 8 - In the following exercises, simplify. 535. 726Ch. 8 - In the following exercises, simplify. 536. 5n7Ch. 8 - In the following exercises, simplify. 537. x+8x8Ch. 8 - In the following exercises, solve. 538. 4x3=7Ch. 8 - In the following exercises, solve. 539. 5x+1=3Ch. 8 - In the following exercises, solve. 540. 4x13=3Ch. 8 - In the following exercises, solve. 541. u3+3=uCh. 8 - In the following exercises, solve. 542. 4x+532=5Ch. 8 - In the following exercises, solve. 543....Ch. 8 - In the following exercises, solve. 544. y+4y+2=0Ch. 8 - In the following exercises, solve. 545. 28r+18=2Ch. 8 - In the following exercises, solve. 546....Ch. 8 - In the following exercises, solve. 547....Ch. 8 - In the following exercises, solve. 548. r+6=r+8Ch. 8 - In the following exercises, solve. 549. x+1x2=1Ch. 8 - In the following exercises, solve. 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