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: 37

Answer

$-3xy+5y$

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. $=\dfrac{27x^2y^4}{-9xy^3} - \dfrac{45xy^4}{-9xy^3} \\=-3x^{2-1}y^{4-3}+ 5x^{1-1}y^{4-3} \\=-3xy+5x^0y \\=-3xy+5(1)y \\=-3xy+5y$
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