Answer
$-128$
Work Step by Step
The given expression is
$=(-32)^{\frac{7}{5}}$
Use $-32=(-2)^5$.
$=((-2)^5)^{\frac{7}{5}}$
Use $(a^n)^m=a^{nm}$.
$=(-2)^{5\cdot \frac{7}{5}}$
Simplify.
$=(-2)^7$
$=-128$
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 - Chapter Test - Page 351: 3
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