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 - Page 74: 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: $=\color{blue}{p\sqrt[4]{p}}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.