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: 37

Answer

$\frac{3}{4(x-1)}$

Work Step by Step

We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the fraction: $\frac{9(x-1)^{2}}{12(x-1)^{3}}$ =$\frac{9(x-1)^{2-3}}{12}$ =$\frac{9(x-1)^{-1}}{12}$ =$\frac{3(x-1)^{-1}}{4}$ =$\frac{3}{4(x-1)}$
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