Answer
$\frac{81}{64}$
Work Step by Step
The given expression is
$=\frac{(-8)^{-2}}{3^{-4}}$
Use $a^{-n}=\frac{1}{a^n}$.
$=\frac{3^{4}}{(-8)^{2}}$
Use $3^4=81$ and $(-8)^2=64$.
$=\frac{81}{64}$
Simplify.
$=\frac{81}{64}$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Exercises - Page 296: 12
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