Elementary Algebra

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

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 38

Answer

$\frac{9(x+2)}{8}$

Work Step by Step

We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the fraction: $\frac{18(x+2)^{3}}{16(x+2)^{2}}$ =$\frac{18(x+2)^{3-2}}{16}$ =$\frac{18(x+2)^{1}}{16}$ =$\frac{9(x+2)^{1}}{8}$ =$\frac{9(x+2)}{8}$
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