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: 45

Answer

$a^{10}|a|$

Work Step by Step

Using $\sqrt{x^2}=|x|$, the given expression, $ \sqrt{a^{22}} ,$ simplifies to \begin{array}{l} \sqrt{(a^{11})^2} \\\\= |a^{11}| \\\\= |a^{10}\cdot a| \\\\= a^{10}|a| .\end{array}
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