Answer
$\dfrac{81}{a^8}$
Work Step by Step
Using the laws of exponents, the given expression, $
(3a^{-2})^{4}
,$ is equivalent to
\begin{array}{l}\require{cancel}
3^4a^{-2(4)}
\\\\=
81a^{-8}
\\\\=
\dfrac{81}{a^8}
.\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 - 5.6 - Integral Exponents and Scientific Notation - Problem Set 5.6 - Page 224: 67
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