Answer
0.125
Work Step by Step
Move the negative exponents.
$\frac{1}{4^\frac{3}{2}}$
$a^\frac{b}{c}$ is equal to $\sqrt[c] {a^b}$.
$\frac{1}{\sqrt{4^3}}$
Simplify.
$\frac{1}{\sqrt{64}}$
$\frac{1}{8}$
Convert to decimals.
0.125
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 451: 5
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