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 - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 654: 87


$$9\cdot \:3^{\frac{2}{3}}n^{\frac{2}{3}}$$

Work Step by Step

Simplifying the expression using the rules of radicals, we find: $$ \frac{3^2\cdot \:3^{\frac{2}{3}}\left(mn^2\right)^{\frac{2}{3}}}{\left(mn\right)^{\frac{2}{3}}}\\ \frac{3^2\cdot \:3^{\frac{2}{3}}m^{\frac{2}{3}}n^{\frac{4}{3}}}{m^{\frac{2}{3}}n^{\frac{2}{3}}}\\ 9\cdot \:3^{\frac{2}{3}}n^{\frac{2}{3}}$$
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