Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set: 16

Answer

$60x^{4}y^{4}$

Work Step by Step

Since all terms are multiplied by each other, we can collect constants and variables separately in their own parentheses. We then use the rule $a^{m}\times a^{n}=a^{m+n}$ to simplify the expression: $(-3xy)(-4y^{2})(5x^{3}y)$ =$(-3xy)\times(-4y^{2})\times(5x^{3}y)$ =$(-3\times-4\times5)\times(x\times x^{3})\times(y \times y^{2} \times y)$ =$(60)\times(x^{3+1})\times(y^{1+2+1})$ =$(60)\times(x^{4})\times(y^{4})$ =$60x^{4}y^{4}$
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