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: 72

Answer

$-32x^{8}$

Work Step by Step

Using the laws of exponents, the given expression, $ (-2x)^3(4x^5) ,$ simplifies to \begin{array}{l}\require{cancel} \left((-2)^{1(3)}x^{1(3)}\right)(4x^5) \\\\= \left((-2)^{3}x^{3}\right)(4x^5) \\\\= \left(-8x^{3}\right)(4x^5) \\\\= (-8)(4)x^{3+5} \\\\= -32x^{8} .\end{array}
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