Elementary Algebra

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

Chapter 2 - Real Numbers - Chapter 2 Test: 3

Answer

$\frac{9xy}{16}$

Work Step by Step

We will separate the constants from the variables and reduce them separately before multiplying their respective reduced forms at the end. While constants can be reduced by simple division, variables will be reduced by using the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$: $\frac{18xy^{2}}{32y}$ =$\frac{18}{32}\times x \times y^{2-1}$ =$\frac{9\times2}{16\times2}\times x \times y^{1}$ =$\frac{9xy}{16}$
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