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 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set: 107

Answer

$x^{t}$

Work Step by Step

Using the laws of exponents, the given expression $ \dfrac{x^{5t}(x^t)^2}{(x^{3t})^2} $ simplifies to \begin{array}{l}\require{cancel} \dfrac{x^{5t}(x^{t(2)})}{x^{3t(2)}} \\\\= \dfrac{x^{5t}(x^{2t})}{x^{6t}} \\\\= x^{5t+2t-6t} \\\\= x^{t} .\end{array}
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