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 - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises: 32

Answer

$30y^2\sqrt[3]{2y}$

Work Step by Step

RECALL: $\sqrt[3]{a} \cdot \sqrt[3]{b} = \sqrt[3]{a\cdot b}.$ Use the rule above to have $6\sqrt[3]{(5y^3)(50y^4)} \\=6\sqrt[3]{250y^7} \\=6\sqrt[3]{125y^6(2y)} \\=6\sqrt[3]{(5y^2)^3(2y)} \\=6(5y^2)\sqrt[3]{2y} \\=30y^2\sqrt[3]{2y}.$
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