Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Review Exercises - Page 670: 33

Answer

$-2xy^2\sqrt [3] {y}$

Work Step by Step

Rewrite the radicand as the product of factors such that you can take the cube root of certain factors: $\sqrt [3] {-2^3 • x^3 • y^6 • y}$ Take the cube roots of terms to take them out from under the radical sign: $-2 • x • y^2\sqrt [3] {y}$ Simplify the radical by multiplying the coefficients: $-2xy^2\sqrt [3] {y}$
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