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: 78

Answer

$x^{13/12}$

Work Step by Step

Using the laws of exponents, the given expression, $ x^{3/4}\cdot x^{1/3} ,$ simplifies to \begin{array}{l}\require{cancel} x^{\frac{3}{4}+\frac{1}{3}} \\\\= x^{\frac{9}{12}+\frac{4}{12}} \\\\= x^{\frac{13}{12}} \\\\= x^{13/12} .\end{array}
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