Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set: 13

Answer

$\frac{5y}{2}$

Work Step by Step

We will simplify the expression by canceling out the common factors: $\frac{3x}{7y}\div\frac{6x}{35y^{2}}$ =$\frac{3x}{7y}\times\frac{35y^{2}}{6x}$ =$\frac{1x}{7y}\times\frac{35y^{2}}{2x}$ =$\frac{1x}{1y}\times\frac{5y^{2}}{2x}$ =$\frac{1}{1y}\times\frac{5y^{2}}{2}$ =$\frac{1}{1}\times\frac{5y^{2-1}}{2}$ =$\frac{5y^{1}}{2}$ =$\frac{5y}{2}$
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