Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set - Page 641: 69



Work Step by Step

Using the laws of exponents, the given expression, $ 11^{1/2}\cdot11^{1/3} ,$ simplifies to \begin{array}{l}\require{cancel} 11^{\frac{1}{2}+\frac{1}{3}} \\\\= 11^{\frac{3}{6}+\frac{2}{6}} \\\\= 11^{\frac{5}{6}} .\end{array}
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