Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2 - Page 406: 51

Answer

$-\dfrac{26a^4}{3}$

Work Step by Step

Using the properties of radicals, the given expression, $ -\dfrac{2}{3}\sqrt[]{169a^8} ,$ simplifies to \begin{array}{l}\require{cancel} -\dfrac{2}{3}\sqrt[]{(13a^4)^2} \\\\= -\dfrac{2}{3}\cdot13a^4 \\\\= -\dfrac{26a^4}{3} .\end{array} Note that all of the variables are assumed to represent non-negative real numbers.
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