Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2: 25

Answer

-$\frac{2}{9}$$a^{2}$$b^{5}$

Work Step by Step

(-$\frac{7}{12}$$a^{2}b$)($\frac{8}{21}$$b^{4}$) = Use the exponent rule to simplify: $b^{n}$ $b^{m}$ = $b^{m+n}$ -$\frac{7}{12}$ $\times$ $\frac{8}{21}$ $\times$ $a^{2}$ $\times$ $b^{1+4}$ = -$\frac{2}{9}$ $\times$ $a^{2}$ $\times$ $b^{5}$ = -$\frac{2}{9}$$a^{2}$$b^{5}$
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