Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapter 9 Test - Page 431: 7

Answer

$-12\sqrt[3] 2$

Work Step by Step

We will simplify the radical to simplify the expression: $-4\sqrt[3] {54}$ =$-4\sqrt[3] {27\times2}$ =$-4(\sqrt[3] {27}\times\sqrt[3] 2)$ =$-4(\sqrt[3] {3^{3}}\times\sqrt[3] 2)$ =$-4(3\times\sqrt[3] 2)$ =$-12\times\sqrt[3] 2$ =$-12\sqrt[3] 2$
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