Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Test - Page 578: 4


$\sqrt x$

Work Step by Step

Simplify. $\sqrt[8]{x^4}$ As per definition of square root property,we have $(p)^{\frac{m}{n}}=(\sqrt[n] {p})^m$ Therefore, $\sqrt[8]{x^4}=(x)^{\frac{4}{8}}=(x)^{\frac{1}{2}}$ Thus, the given radical term can be written as:$\sqrt x$
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