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: 53

Answer

$\color{blue}{\frac{1}{n}\sqrt[4]{m}}$

Work Step by Step

Factor the radicand so that one factor is a perfect fourth power to obtain: $=\sqrt[4]{\left(\frac{1}{n^4}\right)(m)} \\=\sqrt[4]{\left(\frac{1}{n}\right)^4(m)}$ Bring out the cube root of the perfect cube factor to obtain: $\\=\color{blue}{\frac{1}{n}\sqrt[4]{m}}$
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