Answer
$-3$
Work Step by Step
RECALL:
$a^{\frac{1}{n}}=\sqrt[n]{a}$
$\sqrt [n] {a^{n}}=a$
With $n=4$, use the rules above to obtain:
$-81^{\frac{1}{4}}
\\=-(81^{\frac{1}{4}})
\\=-\sqrt[4]{81}
\\ -\sqrt[4] {3^{4}}
\\-3$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 521: 6
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