Answer
$64$
Work Step by Step
The given expression is
$=512^{\frac{2}{3}}$
Use $512=2^9$.
$=(2^9)^{\frac{2}{3}}$
Use $(a^n)^m=a^{n\cdot m} $
$=2^{9\cdot \frac{2}{3}}$
Simplify.
$=2^{6}$
Use $2^6=64$
$=64$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.1-6.4 - Quiz - Page 324: 7
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