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 - Page 201: 73



Work Step by Step

Using the laws of exponents, the given expression, $ (-3x)^3(-4x)^2 ,$ simplifies to \begin{array}{l}\require{cancel} \left((-3)^{1(3)}x^{1(3)}\right)\left((-4)^{1(2)}x^{1(2)}\right) \\\\= \left((-3)^{3}x^{3}\right)\left((-4)^{2}x^{2}\right) \\\\= \left(-27x^{3}\right)\left(16x^{2}\right) \\\\= (-27)(16)x^{3+2} \\\\= -432x^{5} .\end{array}
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