Answer
$8$
Work Step by Step
$\sqrt[n] {a^n}=|a|$ if $n$ is even
$16=2^4$, so $\sqrt[4]{16}=\sqrt[4]{2^4}=|2|=2$.
Then $(\sqrt[4]{16})^3=2^3=8.$
Thus $16^{\frac{3}{4}}=(\sqrt[4]{16})^3=2^3=8.$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Concept and Vocabulary Check - Page 521: 4
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