Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Got It? - Page 435: 4


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Work Step by Step

a) $(x^{-2})^2(3xy^5)^4 $ $=x^{-4}3^4x^4(y^5)^4$ $=81y^{20}$ b) $ (3c^{\frac{5}{2}})^4(c^2)^3 $ $=3^4(c^{\frac{5}{2}})^4c^6$ $=81c^{16}$ c) $(6ab)^3(5a^{-3})^2$ $=6^3a^3b^35^2(a^{-3})^2$ $=5400a^{-3}b^3$ $=\frac{5400b^3}{a^3}$
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