Answer
$\dfrac{b^{6}}{a^{4}}$
Work Step by Step
Using the laws of exponents, the given expression, $
(a^2b^{-3})^{-2}
,$ simplifies to
\begin{array}{l}\require{cancel}
a^{2(-2)}b^{-3(-2)}
\\\\=
a^{-4}b^{6}
\\\\=
\dfrac{b^{6}}{a^{4}}
.\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: 68
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