Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 10 - Section 10.2 - Multiplication Properties of Exponents - Exercise Set - Page 711: 31

Answer

$256x^9y^{13}$

Work Step by Step

$(4xy)^3(2x^3y^5)^2=(4^3)(x^3)(y^3)(2^2)(x^3)^2(y^5)^2=(64)(x^3)(y^3)(4)(x^{(3\times2)})(y^{(5\times2)})=(64)(x^3)(y^3)(4)(x^6)(y^{10})=256(x^{(3+6)})(y^{(3+10)})=256x^9y^{13}$
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