Answer
$\dfrac{1}{64}$
Work Step by Step
Since $16=4^2$, we have
$$
(16)^{-3/2}=(4^2)^{-3/2}=4^{-3}=\frac{1}{64}
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 62
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