Answer
$64$
Work Step by Step
The given expression is
$=256^{\frac{3}{4}}$
Rational exponents.
$=(256^{\frac{1}{4}})^3$
Use $256=4^4$.
$=((4^4)^{\frac{1}{4}})^3$
Simplify.
$=(4)^3$
$=64$.
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 - 6.2 - Radicals and Rational Exponents - Monitoring Progress - Page 301: 6
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