Precalculus (6th Edition)

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: 24

Answer

$\color{blue}{p\sqrt[4]{p}}$

Work Step by Step

RECALL: (1) $a^{m/n}=\sqrt[n]{a^m} = (\sqrt[n]{a})^m$ (2) For $a\gt0$, $\sqrt[n]{a^n} = n$ Use rule (1) above to obtain: $p^{5/4} \\= \sqrt[4]{p^5} \\=\sqrt[4]{p^4(p)}$ Use rule (2) above to obtain: $=\color{blue}{p\sqrt[4]{p}}$
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