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?: 3

Answer

a. 343$m^{27}$ b. $\frac{1}{16z^4}$ c. $\frac{1}{9g^8}$

Work Step by Step

To solve : a. $(7m^{9})^{3}$ = ($7^{3}$)($m^{9\times3})$ = 343$m^{27}$ b. $(2z)^{-4}$ = ($2^{-4}$)($z^{-4})$ = $\frac{1}{2^{4}z^{4}}$ = $\frac{1}{16z^4}$ c. $(3g^{4})^{-2}$ = ($3^{-2}$)($g^{4\times-2})$ = ($3^{-2}$)($g^{-8})$ = $\frac{1}{3^{2}g^{8}}$ = $\frac{1}{9g^8}$
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