Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 8

Answer

$-20m^{5}n^{9}$

Work Step by Step

We are given the expression $5m^{3}n^{4}(-4m^{2}n^{5})$. We can group like terms and then simplify. $5\times-4\times m^{3} \times m^{2}\times n^{4}\times n^{5}$ Next, we can use the product rule for exponents to multiply the exponents. $-20\times m^{3+2}\times n^{4+5}=-20m^{5}n^{9}$
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