Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.1 Rules for Exponents - 3.1 Exercises - Page 234: 79


$\sqrt[3] {xy}$

Work Step by Step

Step 1: The denominator of the exponent becomes the radical’s index. The numerator, on the other hand, remains the exponent of the variable. Step 2: Therefore, $x^{\frac{1}{3}}y^{\frac{1}{3}}=(xy)^{\frac{1}{3}}=\sqrt[3] {xy}$.
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