Answer
$\dfrac{1}{x^3}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{x^{-5}}{x^{-2}}
,$ simplifies to
\begin{array}{l}\require{cancel}
x^{-5-(-2)}
\\\\=
x^{-5+2}
\\\\=
x^{-3}
\\\\=
\dfrac{1}{x^3}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Cumulative Review - Page 408: 30c
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