Intermediate Algebra for College Students (7th Edition)

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

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 $16^{\frac{3}{4}}=(\sqrt[4]{16})^3=2^3=8.$
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