Answer
$3$
Work Step by Step
RECALL:
$a^{\frac{m}{n}}=\sqrt[n]{a^m}$
Use the rule above to obtain:
\begin{align*}
81^{\frac{1}{4}}&=\sqrt[4]{81}\\
&=\sqrt[4]{3(3)(3)(3)}\\
&=\sqrt[4]{3^4}\\
&=3
\end{align*}
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 6 - Radical Functions and Rational Exponents - Chapter Review - Page 424: 35
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