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 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set: 88

Answer

$\color{blue}{\dfrac{5x}{9y^5}}$

Work Step by Step

Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}=\frac{ad}{bc}$ to obtain: $\require{cancel} \\\frac{2x^2}{3y^4} \div \frac{6xy}{5} \\=\frac{2x^2}{3y^4} \cdot \frac{5}{6xy} \\=\frac{\cancel{2}\cancel{x^2}x}{3y^4} \cdot \frac{5}{\cancel{6}3\cancel{x}y} \\=\frac{x}{3y^4} \cdot \frac{5}{3y} \\=\frac{x(5)}{(3y^4)(3y)} \\=\color{blue}{\frac{5x}{9y^5}}$
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