Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Test: Chapter 4: 6

Answer

$-40x^{19}y^{4}$

Work Step by Step

Using the laws of exponents, the given expression, $ (5x^4y)(-2x^5y)^3 ,$ simplifies to \begin{array}{l}\require{cancel} (5x^4y)(-2)^3x^{5(3)}y^3 \\\\= (5x^4y)(-8x^{15}y^3) \\\\= -40x^{4+15}y^{1+3} \\\\= -40x^{19}y^{4} .\end{array}
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