Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.4 - Multiplication of Monomials - Exercise - Page 223: 16


$$-\frac{3}{8}a^{7} b^{10}$$

Work Step by Step

By multiplying the numerical coefficients and adding the powers of the variables, we get $$\left(-\frac{5}{6} a^{2} b^{6}\right)\left(\frac{9}{20} a^{5} b^{4}\right)=-\frac{45}{120}a^{7} b^{10} =-\frac{9}{24}a^{7} b^{10}.$$ We can reduce the final fraction by $3$: $$=-\frac{3}{8}a^{7} b^{10}.$$
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