Answer
$16$
Work Step by Step
The given expression is
$=(-64)^{\frac{2}{3}}$
Rational exponents.
$=((-64)^{\frac{1}{3}})^2$
Use $64=4^3$.
$=((-4^3)^{\frac{1}{3}})^2$
Simplify.
$=(-4)^2$
$=16$.
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 - 6.2 - Radicals and Rational Exponents - Monitoring Progress - Page 301: 4
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