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: 4

Answer

$0.2x^2y$

Work Step by Step

In this exercise, $0.008$ is a perfect cube, $y^3$ is a perfect cube, and $x^6$ is also a perfect cube. Take the cube roots of $0.008$, $y^3$, and $x^6$: $=\sqrt[3]{0.2^2y^3(y^2)^3}\\ =0.2yx^2\\ =0.2x^2y$
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