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 - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 42



Work Step by Step

You have ($\frac{5}{4}$$)^{-4}$.Simplify: ($\frac{5}{4}$$)^{-4}$ -apply exponent rule ($\frac{a}{b}$$)^{-c}$=($\frac{b}{a}$$)^{c}$- ($\frac{4}{5}$$)^{4}$ -distribute the exponent- $\frac{4^4}{5^4}$ -simplify the exponents- =$\frac{256}{625}$
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