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: 86



Work Step by Step

Simplifying the expression using the rules of radicals, we find: $$ \frac{7\sqrt{a^2b}\sqrt{25xy}}{5\sqrt{a^{-4}b^{-1}}\sqrt{49x^{-1}y^{-3}}}\\ \frac{5a\sqrt{b}\sqrt{xy}}{\frac{5}{a^2\sqrt{b}\sqrt{x}y^{\frac{3}{2}}}}\\ a^3bxy^{\frac{3}{2}+\frac{1}{2}}\\ a^3bxy^2$$
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