Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises: 73

Answer

$a)$ $y^{3/2}$ or $\sqrt{y^{3}}$ $b)$ $10x^{7/12}$

Work Step by Step

$a)$ $\sqrt[6]{y^{5}}\sqrt[3]{y^{2}}$ Rewrite using rational exponents and evaluate the product: $\sqrt[6]{y^{5}}\sqrt[3]{y^{2}}=y^{5/6}\cdot y^{2/3}=y^{3/2}$ $b)$ $(5\sqrt[3]{x})(2\sqrt[4]{x})$ Rewrite using rational exponents and evaluate the product: $(5\sqrt[3]{x})(2\sqrt[4]{x})=(5x^{1/3})(2x^{1/4})=10x^{7/12}$
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