Answer
$x^{9}$
Work Step by Step
Using laws of exponents, then,
\begin{array}{l}
\left( \dfrac{x^{-5}}{x^{-2}} \right)^{-3}
\\\\=
\left( x^{-5-(-2)} \right)^{-3}
\\\\=
\left( x^{-3} \right)^{-3}
\\\\=
x^{-3(-3)}
\\\\=
x^{9}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Cumulative Review - Page 334: 39b
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