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: 79

Answer

$-16x^{11}y^{17}$

Work Step by Step

Using the laws of exponents, the given expression, $ (-2x^2y^2)^4(-xy^3)^3 ,$ simplifies to \begin{array}{l}\require{cancel} (-2)^{1(4)}x^{2(4)}y^{2(4)}\cdot(-1)^3x^{1(3)}y^{3(3)} \\\\= (-2)^{4}x^{8}y^{8}\cdot(-1)^3x^{3}y^{9} \\\\= 16x^{8}y^{8}\cdot(-1)x^{3}y^{9} \\\\= 16(-1)x^{8+3}y^{8+9} \\\\= -16x^{11}y^{17} .\end{array}
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