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

Published by Pearson

Chapter 4 - Polynomials - Review Exercises: Chapter 4 - Page 298: 18

Answer

$\dfrac{4t^{10}}{9s^{8}}$

Work Step by Step

Using the laws of exponents, the given expression, $\left( \dfrac{2t^5}{3s^4} \right)^2 ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{2^2t^{5(2)}}{3^2s^{4(2)}} \\\\= \dfrac{4t^{10}}{9s^{8}} .\end{array}

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