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: 23

Answer

$\frac{2}{5}$$x^{3}$$y^{5}$

Work Step by Step

($\frac{2}{3}$xy)($\frac{3}{5}$$x^{2}$$y^{4}$) = Use $b^{n}$ $b^{m}$ = $b^{m+n}$ to simplify. $\frac{2}{3}$ $\times$ $\frac{3}{5}$ $\times$ $x^{1+2}$ $\times$ $y^{1+4}$ = $\frac{2}{5}$$x^{3}$$y^{5}$
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