Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set: 46

Answer

$x^{4}|x|$

Work Step by Step

Using $\sqrt{x^2}=|x|$, the given expression, $ \sqrt{x^{10}} ,$ simplifies to \begin{array}{l} \sqrt{(x^{5})^2} \\\\= |x^5| \\\\= |x^{4}\cdot x| \\\\= x^{4}|x| .\end{array}
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