Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.3 Rational Expressions - R.3 Exercises - Page R-10: 13

Answer

$\displaystyle \frac{3k}{5}$

Work Step by Step

$\displaystyle \frac{9k^{2}}{25}\cdot \displaystyle \frac{5}{3k}= \qquad$... apply property: $\displaystyle \frac{P}{Q}\cdot\frac{R}{S}=\frac{PR}{QS}$ Write 9 as $3\cdot 3$, 25 as $5\cdot 5$ ( we will reduce what we can) =$\displaystyle \frac{3\cdot 3\cdot 5k^{2}}{5\cdot 5\cdot 3k}= \qquad$... reduce: 3, 5, k $= \displaystyle \frac{3k}{5}$
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