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: 21

Answer

$9$

Work Step by Step

Recall that $3^3=27$. Thus, the given expression can be written as: $=(3^3)^{\frac{2}{3}}$ Now, recall the basic exponent property (pg. 360): $(a^m)^n=a^{mn}$ Applying this property to the expression above gives: $=3^{\frac{3\cdot2}{3}}$ $=3^{2}$ $=9$
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