Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - Mid-Chapter Quiz - Page 389: 22

Answer

$8$

Work Step by Step

Recall that $2^4=16$. Thus, the given expression can be written as: $=(2^4)^{\frac{3}{4}}$ Now, recall the basic exponent property (pg. 360): $(a^m)^n=a^{mn}$ Applying this property to the given expression gives: $=2^{\frac{4\cdot3}{4}}$ $=2^{3}$ $=8$
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