Answer
$-2$
Work Step by Step
RECALL:
(i) $a^{\frac{1}{5}}=\sqrt[5]{a}$
(ii) $\sqrt[5]{a^5}=a$
Use rule (i) above to obtain:
$=-\sqrt[5]{32}$
Write 32 as $2^5$:
$=-\sqrt[5]{2^5}$
Use rule (ii) above to obtain:
$=-2$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-805-X
ISBN 13:
978-0-13417-805-9
Chapter 8 - Section 8.6 - Rational Exponents - Exercise Set - Page 614: 11
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