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: 38

Answer

$5xy^3-8x^2y^4$

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. $=\dfrac{-40x^4y^7}{-8x^3y^4} + \dfrac{64x^5y^8}{-8x^3y^4} \\=5x^{4-3}y^{7-4}- 8x^{5-3}y^{8-4} \\=5xy^3-8x^2y^4$
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