## Elementary Algebra

Published by Cengage Learning

# Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2: 26

#### Answer

$\frac{9}{2}$$a^{4}$$b^{6}$

#### Work Step by Step

(-$\frac{9}{5}$$a^{3}$$b^{4}$)(-$\frac{15}{6}$a$b^{2}$) = Use the exponent rule to simplify: $b^{n}$ $b^{m}$ = $b^{m+n}$ (-$\frac{9}{5}$) $\times$ (-$\frac{15}{6}$) $\times$ $a^{3+1}$ $\times$ $b^{4+2}$ = $\frac{9}{2}$ $\times$ $a^{4}$ $\times$ $b^{6}$ = $\frac{9}{2}$$a^{4}$$b^{6}$

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