Answer
$\frac{25}{4}x^2$
Work Step by Step
We are given
$(\frac{2x^{2}}{5x^3})^{-2}$
$=(\frac{5x^3}{2x^{2}})^{2}$
$=\frac{(5x^3)^2}{(2x^2)^2}$
$=\frac{25x^6}{4x^4}$
$=\frac{25}{4}x^2$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
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 444: 66
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