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: 47



Work Step by Step

You are given ($y^{-4}$$)^{x}$=$y^{1/2}$.Solve for X: $y^{-4x}$=$y^{1/2}$ -multiply exponents when raising a power to a power and simplify- -4x=$\frac{1}{2}$ -write as a non-exponential equation and divide both sides by -4- $\frac{-4x}{-4}$=$\frac{{\frac{1}{2}}}{-4}$ -simplify- x=-$\frac{1}{8}$
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