Answer
$\dfrac{1}{x^2}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{x^{-6}}{x^{-4}}
,$ simplifies to
\begin{array}{l}\require{cancel}
x^{-6-(-4)}
\\\\=
x^{-6+4}
\\\\=
x^{-2}
\\\\=
\dfrac{1}{x^2}
.\end{array}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set - Page 231: 64
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