Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - Mid-Chapter Quiz - Page 389: 11

Answer

$2x^2y$

Work Step by Step

Factor the radicand so that we can take the cube roots later: $\dfrac{\sqrt[3] {4^3 \cdot x^{3} \cdot x^{3} \cdot x^{3} \cdot y^{3}}}{\sqrt[3] {2^3 \cdot x^{3}}}$ Take the cube roots: $=\dfrac{4 \cdot x \cdot x \cdot x \cdot y}{2 \cdot x}$ Simplify by canceling pairs of common factors in the numerator and denominator: $=2x^2y$
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