Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

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



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: $...=\dfrac{98}{63b^{2}}=\dfrac{14}{9b^{2}}$
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