Answer
$\color{blue}{3|p^3q|}$
Work Step by Step
RECALL:
If $n$ is an even integer, $\sqrt[n]{a^n} = |a|$
Using the rule above gives:
$\sqrt[4]{81p^{12}q^4}
\\=\sqrt[4]{3^4p^{12}q^4}
\\= {|3p^3q|}
\\=\color{blue}{3|p^3q|}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 75: 38
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