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: 36

Answer

$5a^6+6a^2$

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. $=\dfrac{-65a^8}{-13a^2} - \dfrac{78a^4}{-13a^2} \\=5a^{8-2}+ 6a^{4-2} \\=5a^6+6a^2$
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