#### Answer

$3$

#### Work Step by Step

Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the given expression, $
81^{1/4}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[4]{81^1}
\\\\=
\sqrt[4]{81}
\\\\=
\sqrt[4]{(3)^4}
\\\\=
3
.\end{array}

Published by
Pearson

ISBN 10:
0-32184-874-8

ISBN 13:
978-0-32184-874-1

$3$

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