Answer
$ \color{blue}{\sqrt[7]{(5r+3t)^4}}$
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:
$(5r+3t)^{4/7}
\\= \color{blue}{\sqrt[7]{(5r+3t)^4}}$
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 74: 26
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