Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-5 Rational Exponents and Radicals - Lesson Check - Page 450: 7



Work Step by Step

$\sqrt[4]{16y^{3}}\qquad$...write in exponential form, $\sqrt[n]{a^{m}}=a^{\frac{m}{n}}$ $=(16y^{3})^{\frac{1}{4}}\qquad$...use power of a product. $=16^{\frac{1}{4}}(y^{3})^{\frac{1}{4}}\qquad$...simplify. $=(2^{4})^{\frac{1}{4}}y^{\frac{3}{4}}$ $=2y^{\frac{3}{4}}$
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