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: 43

Answer

$\frac{25y^8}{49x^3}$

Work Step by Step

You have (-$\frac{7x^3{^/}{^2}}{5y^4}$$)^{-2}$.Simplify the expression: $\frac{-7^-{^2}x^-{^3}}{5^-{^2}y^-{^8}}$ -multiply every value in the parentheses by -2- $\frac{5^2y^8}{-7^2x^3}$ -apply exponent rule $a^{-y}$=$\frac{1}{a^y}$- =$\frac{25y^8}{49x^3}$
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