Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.10 nth Roots; Rational Exponents - A.10 Assess Your Understanding - Page A88: 70

Answer

$8$

Work Step by Step

With $16=2^4$, the given expression is equivalent to: $16^{\frac{3}{4}} =(2^4)^{\frac{3}{4}}$ Use the rule $\left(a^m\right)^n=a^{mn}$, then simplify to obtain: $=2^{4\cdot\frac{3}{4}}$ $=2^3$ $=8$ Hence, the correct answer is $8$.
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