Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapter 9 Test: 12

Answer

$-5xy\sqrt[3]{2x}$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt[3]{-250x^4y^3} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{-125x^3y^3\cdot2x} \\\\= \sqrt[3]{(-5xy)^3\cdot2x} \\\\= -5xy\sqrt[3]{2x} .\end{array}
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