# Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set - Page 499: 20

$\dfrac{7a^{2}b}{3ab^{2}}\div\dfrac{21a^{2}b^{2}}{14ab}=\dfrac{14}{9b^{2}}$

#### Work Step by Step

$\dfrac{7a^{2}b}{3ab^{2}}\div\dfrac{21a^{2}b^{2}}{14ab}$ Divide the two rational expressions: $\dfrac{7a^{2}b}{3ab^{2}}\div\dfrac{21a^{2}b^{2}}{14ab}=\dfrac{(7a^{2}b)(14ab)}{(3ab^{2})(21a^{2}b^{2})}=\dfrac{98a^{3}b^{2}}{63a^{3}b^{4}}=...$ Simplify by removing repeated factors in the numerator and the denominator: $...=\dfrac{98}{63b^{2}}=\dfrac{14}{9b^{2}}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.