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 - Practice and Problem-Solving Exercises - Page 437: 30



Work Step by Step

\ltYou are given ($3b^{-2}$$)^{2}$ ($a^{2}$$b^{4}$$)^{3}$.You have to simplify the expression: ($3^{2}$($b^{-2}$$)^{2}$) (($a^{2}$$)^{3}$($b^{4}$$)^{3}$) -Raise each term in the parentheses to the power outside of it- (9$b^{-4}$)($a^{6}$$b^{12}$) -simplify the exponents- 9$a^{6}$$b^{-4+12}$ -add the exponents with the same base since you are multiplying- The simplified expression is $9a^{6}$$b^{8}$
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