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: 49


The blank is -2

Work Step by Step

You are given (5$x^{?}$$)^{2}$=$25x^{-4}$.Solve for the blank: $5^{2}$($x^{?}$$)^{2}$=$25x^{-4}$ -multiply exponents when raising a power to a power and simplify- $25x^{2?}$=$25x^{-4}$ -write as a non-exponential equation since they have the same base- 2?=-4 -divide both sides by 2- ?=-2 The blank is -2
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