Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4: 40

Answer

$-5a^2b^2+7ab^4$

Work Step by Step

Recall the following rule: $\frac{a^{m}}{a^{n}}=a^{m-n}$ In order to solve this problem, use the rule above and cancel out common factors that are in both the numerator and the denominator of the fraction. $=\dfrac{45a^3b^4}{-9ab^2} - \dfrac{63a^2b^6}{-9ab^2} \\=-5a^{3-1}b^{4-2}+7a^{2-1}b^{6-2} \\=-5a^2b^2+7ab^4$
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