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: 80

Answer

$-27x^{11}y^{15}$

Work Step by Step

Using the laws of exponents, the given expression, $ (-3xy)^3(-x^2y^3)^4 ,$ simplifies to \begin{array}{l}\require{cancel} (-3)^3x^{1(3)}y^{1(3)}\cdot (-1)^4x^{2(4)}y^{3(4)} \\\\= -27x^{3}y^{3}\cdot (1)x^{8}y^{12} \\\\= -27(1)x^{3+8}y^{3+12} \\\\= -27x^{11}y^{15} .\end{array}
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