Elementary Algebra

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

Chapter 2 - Real Numbers - Chapters 1-2 Cumulative Review Problem Set - Page 92: 44

Answer

$(\frac{8a^{2}}{21b})$

Work Step by Step

To simplify, we multiply the numerators by each other and the denominators by each other while simplifying the fractions through the cancelling of common factors: Step 1: $(-\frac{5a}{7b^{2}})\times(-\frac{8ab}{15})$ Step 2: $(-\frac{1a}{7b^{2}})\times(-\frac{8ab}{3})$ Step 3: $(-\frac{1a}{7b^{2-1}})\times(-\frac{8a}{3})$ Step 4: $(-\frac{1a}{7b})\times(-\frac{8a}{3})$ Step 5: $(\frac{8a^{2}}{21b})$
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