Answer
$3$
Work Step by Step
RECALL:
(i) $a^{\frac{1}{4}}=\sqrt[4]{a}$
(ii) $\sqrt[4]{a^4}=|a|$
Use rule (i) above to obtain:
$=\sqrt[4]{81}$
Write 81 as $3^4$:
$=\sqrt[4]{3^4}$
Use rule (ii) above to obtain:
$=|3|
\\=3$
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: 10
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