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: 76

Answer

$-36x^{8}y^{5}$

Work Step by Step

Using the laws of exponents, the given expression, $ (-x^2y)^3(6xy)^2 ,$ simplifies to \begin{array}{l}\require{cancel} (-1)^3x^{2(3)}y^{1(3)}\cdot6^{1(2)}x^{1(2)}y^{1(2)} \\\\= (-1)x^{6}y^{3}\cdot6^{2}x^{2}y^{2} \\\\= (-1)x^{6}y^{3}\cdot36x^{2}y^{2} \\\\= (-1)(36)x^{6+2}y^{3+2} \\\\= -36x^{8}y^{5} .\end{array}
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