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Math
Algebra
Simplify using only positive exponents: 4-²xy-5 4¹x²y-524 Z
Simplify using only positive exponents: 4-²xy-5 4¹x²y-524 Z
BUY
Intermediate Algebra
19th Edition
ISBN:
9780998625720
Author: Lynn Marecek
Publisher:
OpenStax College
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1 Foundations
2 Solving Linear Equations
3 Graphs And Functions
4 Systems Of Linear Equations
5 Polynomials And Polynomial Functions
6 Factoring
7 Rational Expressions And Functions
8 Roots And Radicals
9 Quadratic Equations And Functions
10 Exponential And Logarithmic Functions
11 Conics
12 Sequences, Series And Binomial Theorem
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5.1 Add And Subtract Polynomials
5.2 Properties Of Exponents And Scientific Notation
5.3 Multiply Polynomials
5.4 Dividing Polynomials
Chapter Questions
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Problem 5.23TI: Simplify each expression: (a) b9b8 (b) 42x4x (c) 3p54p (d) x6x4x8
Problem 5.24TI: Simplify each expression: (a) x12x4 (b) 1010x (c) 2z6z7 (d) b5b9b5 .
Problem 5.25TI: Simplify each expression: (a) x15x10 (b) 61465 (c) x18x22 (d) 12151230 .
Problem 5.26TI: Simplify each expression: (a) y43y37 (b) 1015107 (c) m7m15 (d) 98919 .
Problem 5.27TI: Simplify each expression: (a) 110 (b) q0 .
Problem 5.28TI: Simplify each expression: (a) 230 (b) r0 .
Problem 5.29TI: Simplify each expression: (a)z3 (b) 107 (c) 1p8 (d)143 .
Problem 5.30TI: Simplify each expression: (a) n2 (b) 104 (c) 1q7 (d) 124 .
Problem 5.31TI: Simplify each expression: (a) (23)4 (b) (mn)2 .
Problem 5.32TI: Simplify each expression: (a) (35)3 (b) (ab)4 .
Problem 5.33TI: Simplify each expression: (a) z4z5 (b) (p6q2)(p9q1) (c) (3u5v7)(4u4v2) .
Problem 5.34TI: Simplify each expression: (a) c8c7 (b) (r5s3)(r7s5) (c) (6c6d4)(5c2d1) .
Problem 5.35TI: Simplify each expression: (a) (b7)5 (b) (54)3 (c) (a4)5(a7)4 .
Problem 5.36TI: Simplify each expression: (a)(z6)9 (b) (37)7 (c) (q4)5(q3)3 .
Problem 5.37TI: Simplify each expression: (a) (2wx)5 (b) (11pq3)0 (c) (2b3)4 (d) (8a4)2 .
Problem 5.38TI: Simplify each expression: (a) (3y)3 (b) (8m2n3)0 (c) (4x4)2 (d) (2c4)3 .
Problem 5.39TI: Simplify each expression: (a) (p10)4 (b) (mn)7 (c) (3a b 3 c 2)4 (d) (3 x 2 y 3)3 .
Problem 5.40TI: Simplify each expression: (a) (2q)3 (b) (wx)4 (c) (x y 33 z 2)2 (d) (2 m 2 n 2)3 .
Problem 5.41TI: Simplify each expression: (a) (c4d2)5(3cd5)4 (b) ( a 2)3( a 2)4( a 4)5 (c) (3x y 2 x 2 y 3)2(9x y 3...
Problem 5.42TI: Simplify each expression: (a) (a3b2)6(4ab3)4 (b) ( p 3)4( p 5)3( p 7)6 (c) (4 x 3 y 2 x 2 y 1)2(8x y...
Problem 5.43TI: Write in scientific notation: (a) 96,000 (b) 0.0078.
Problem 5.44TI: Write in scientific notation: (a) 48,300 (b) 0.0129.
Problem 5.45TI: Convert to decimal form: (a) 1.3103 (b) 1.2104 .
Problem 5.46TI: Convert to decimal form: (a) 9.5104 (b) 7.5102 .
Problem 5.47TI: Multiply or divide as indicated. Write answers in decimal form: (a) (3105)(2108) (b) 81024102 .
Problem 5.48TI: Multiply or divide as indicated. Write answers in decimal form: (a) (3102)(3101) (b) 81042101 .
Problem 81E: In the following exercises, simplify each expression using the properties for exponents. 81. (a)...
Problem 82E: In the following exercises, simplify each expression using the properties for exponents. 82. (a)...
Problem 83E: In the following exercises, simplify each expression using the properties for exponents. 83. (a)...
Problem 84E: In the following exercises, simplify each expression using the properties for exponents. 84. (a)...
Problem 85E: In the following exercises, simplify each expression using the properties for exponents. 85. mxm3
Problem 86E: In the following exercises, simplify each expression using the properties for exponents. 86. nyn2
Problem 87E: In the following exercises, simplify each expression using the properties for exponents. 87. yayb
Problem 88E: In the following exercises, simplify each expression using the properties for exponents. 88. xpxq
Problem 89E: In the following exercises, simplify each expression using the properties for exponents. 89. (a)...
Problem 90E: In the following exercises, simplify each expression using the properties for exponents. 90. (a)...
Problem 91E: In the following exercises, simplify each expression using the properties for exponents. 91. (a)...
Problem 92E: In the following exercises, simplify each expression using the properties for exponents. 92. (a)...
Problem 93E: In the following exercises, simplify each expression using the properties for exponents. 93. (a) 200...
Problem 94E: In the following exercises, simplify each expression using the properties for exponents. 94. (a) 130...
Problem 95E: In the following exercises, simplify each expression using the properties for exponents. 95. (a) 270...
Problem 96E: In the following exercises, simplify each expression using the properties for exponents. 96. (a) 150...
Problem 97E: In the following exercises, simplify each expression. 97. (a) a2 (b) 103 (c) 1c5 (d) 132
Problem 98E: In the following exercises, simplify each expression. 98. (a) b4 (b) 102 (c) 1c5 (d) 152
Problem 99E: In the following exercises, simplify each expression. 99. (a) r3 (b) 105 (c) 1q10 (d) 1103
Problem 100E: In the following exercises, simplify each expression. 100. (a) s8 (b) 102 (c) 1t9 (d) 1104
Problem 101E: In the following exercises, simplify each expression. 101. (a) (58)2 (b) (ba)2
Problem 102E: In the following exercises, simplify each expression. 102. (a) (310)2 (b) (2z)3
Problem 103E: In the following exercises, simplify each expression. 103. (a) (49)3 (b) (uv)5
Problem 104E: In the following exercises, simplify each expression. 104. (a) (72)3 (b) (3x)3
Problem 105E: In the following exercises, simplify each expression. 105. (a) (5)2 (b) 52 (c) (15)2 (d) (15)2
Problem 106E: In the following exercises, simplify each expression. 106. (a) 53 (b) (15)3 (c) (15)3 (d)(5)3
Problem 107E: In the following exercises, simplify each expression. 107. (a) 351 (b) (35)1
Problem 108E: In the following exercises, simplify each expression. 108. (a) 342 (b) (34)2
Problem 109E: In the following exercises, simplify each expression using the Product Property. 109. (a) b4b8 (b)...
Problem 110E: In the following exercises, simplify each expression using the Product Property. 110. (a) s3s7 (b)...
Problem 111E: In the following exercises, simplify each expression using the Product Property. 111. (a) a4a3 (b)...
Problem 112E: In the following exercises, simplify each expression using the Product Property. 112. (a) y5y5 (b)...
Problem 113E: In the following exercises, simplify each expression using the Product Property. 113. p5p2p4
Problem 114E: In the following exercises, simplify each expression using the Product Property. 114. x4x2x3
Problem 115E: In the following exercises, simplify each expression using the Power Property. 115. (a) (m4)2 (b)...
Problem 116E: In the following exercises, simplify each expression using the Power Property. 116. (a) (b2)7 (b)...
Problem 117E: In the following exercises, simplify each expression using the Power Property. 117. (a) (y3)x (b)...
Problem 118E: In the following exercises, simplify each expression using the Power Property. 118. (a) (x2)y (b)...
Problem 119E: In the following exercises, simplify each expression using the Product to a Power Property. 119. (a)...
Problem 120E: In the following exercises, simplify each expression using the Product to a Power Property. 120. (a)...
Problem 121E: In the following exercises, simplify each expression using the Product to a Power Property. 121. (a)...
Problem 122E: In the following exercises, simplify each expression using the Product to a Power Property. 122. (a)...
Problem 123E: In the following exercises, simplify each expression using the Quotient to a Power Property. 123....
Problem 124E: In the following exercises, simplify each expression using the Quotient to a Power Property. 124....
Problem 125E: In the following exercises, simplify each expression using the Quotient to a Power Property. 125....
Problem 126E: In the following exercises, simplify each expression using the Quotient to a Power Property. 126....
Problem 127E: In the following exercises, simplify each expression by applying several properties. 127. (a)...
Problem 128E: In the following exercises, simplify each expression by applying several properties. 128. (a)...
Problem 129E: In the following exercises, simplify each expression by applying several properties. 129. (a)...
Problem 130E: In the following exercises, simplify each expression by applying several properties. 130. (a)...
Problem 131E: In the following exercises, simplify each expression. 131. (a) 7n1 (b) (7n)1 (c) (7n)1
Problem 132E: €In the following exercises, simplify each expression. 132. (a) 6r1 (b) (6r)1 (c) (6r)1
Problem 133E: In the following exercises, simplify each expression. 133. (a) (3p)2 (b) 3p2 (c) 3p2
Problem 134E: In the following exercises, simplify each expression. 134. (a) (2q)4 (b) 2q4 (c) 2q4
Problem 135E: In the following exercises, simplify each expression. 135. (x2)4(x3)2
Problem 136E: In the following exercises, simplify each expression. 136. (y4)3(y5)2
Problem 137E: In the following exercises, simplify each expression. 137. (a2)6(a3)8
Problem 138E: In the following exercises, simplify each expression. 138. (b7)5(b2)6
Problem 139E: In the following exercises, simplify each expression. 139. (2m6)3
Problem 140E: In the following exercises, simplify each expression. 140. (3y2)4
Problem 141E: In the following exercises, simplify each expression. 141. (10x2y)3
Problem 142E: In the following exercises, simplify each expression. 142. (2mn4)5
Problem 143E: In the following exercises, simplify each expression. 143. (2a3b2)4
Problem 144E: In the following exercises, simplify each expression. 144. (10u2v4)3
Problem 145E: In the following exercises, simplify each expression. 145. (23x2y)3
Problem 146E: In the following exercises, simplify each expression. 146. (79pq4)2
Problem 147E: In the following exercises, simplify each expression. 147. (8a3)2(2a)4
Problem 148E: In the following exercises, simplify each expression. 148. (5r2)3(3r)2
Problem 149E: In the following exercises, simplify each expression. 149. (10p4)3(5p6)2
Problem 150E: In the following exercises, simplify each expression. 150. (4x3)3(2x5)4
Problem 151E: In the following exercises, simplify each expression. 151. (12x2y3)4(4x5y3)2
Problem 152E: In the following exercises, simplify each expression. 152. (13m3n2)4(9m8n3)2
Problem 153E: In the following exercises, simplify each expression. 153. (3m2n)2(2mn5)4
Problem 154E: In the following exercises, simplify each expression. 154. (2pq4)3(5p6q)2
Problem 155E: In the following exercises, simplify each expression. 155. (a) (3x)2(5x) (b) (2y)3(6y)
Problem 156E: In the following exercises, simplify each expression. 156. (a) (12y2)3(23y)2 (b) (12j2)5(25j3)2
Problem 157E: In the following exercises, simplify each expression. 157. (a) (2r2)3(41r)2 (b) (3x3)3(31x5)4
Problem 158E: In the following exercises, simplify each expression. 158. ( k 2 k 8 k 3)2
Problem 159E: In the following exercises, simplify each expression. 159. ( j 2 j 5 j 4)3
Problem 160E: In the following exercises, simplify each expression. 160. (4 m 3)2(5 m 4)3(10 m 6)3
Problem 161E: In the following exercises, simplify each expression. 161. (10 n 2)3(4 n 5)2(2 n 8)2
Problem 162E: In the following exercises, write each number in scientific notation. 162. (a) 57,000 (b) 0.026
Problem 163E: In the following exercises, write each number in scientific notation. 163. (a) 340,000 (b) 0.041
Problem 164E: In the following exercises, write each number in scientific notation. 164. (a) 8,750,000 (b)...
Problem 165E: In the following exercises, write each number in scientific notation. 165. (a) 1,290,000 (b)...
Problem 166E: In the following exercises, convert each number to decimal form. 166. (a) 5.2102 (b) 2.5102
Problem 167E: In the following exercises, convert each number to decimal form. 167. (a) 8.3102 (b) 3.8102
Problem 168E: In the following exercises, convert each number to decimal form. 168. (a) 7.5106 (b) 4.13105
Problem 169E: In the following exercises, convert each number to decimal form. 169. (a) 1.61010 (b) 8.43106
Problem 170E: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 170....
Problem 171E: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 171....
Problem 172E: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 172....
Problem 173E: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 173....
Problem 174E: Use the Product Property for Exponents to explain why xx=x2 .
Problem 175E: Jennifer thinks the quotient a24a6 simplifies to a4 . What is wrong with her reasoning?
Problem 176E: Explain why 53=(5)3 but 54(5)4 .
Problem 177E: When you convert a number from decimal notation to scientific notation, how do you know if the...
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Simplify using only positive exponents: 4-²xy -5 -3 2 4¹x²y-54 -12
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