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 - Page 634: 85

Answer

$t^9$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt[]{t^{18}} ,$ simplifies to \begin{array}{l} \sqrt[]{(t^9)^{2}} \\\\= t^9 .\end{array} Note that it is assumed that no radicand was formed by raising negative quantities to even powers. Thus, absolute value bars are not necessary.
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