Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - Chapter 5 Test: 5

Answer

12$x^{5}$$y^{5}$

Work Step by Step

$(2x^{2}y)^{2}$(3x$y^{3}$) = Remove round brackets. [$2^{2}$ $\times$ ($x^{2})^{2}$ $\times$ $y^{2}$] [3x$y^{3}$] = (4$x^{4}$$y^{2}$)(3x$y^{3}$) = Remove parentheses. 4$x^{4}$$y^{2}$ $\times$ 3x$y^{3}$ = Group similar terms. (4 $\times$ 3) $\times$ ($x^{4}$ $\times$ x) $\times$ ($y^{2}$ $\times$ $y^{3}$) = Simplify. 12 $\times$ $x^{5}$ $\times$ $y^{5}$ = 12$x^{5}$$y^{5}$
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