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: 32

Answer

$3076x^{16}y^{13}$

Work Step by Step

$(2xy)^4(3x^4y^3)^3=(2^4)(x^4)(y^4)(3^3)(x^4)^3(y^3)^3=(16)(x^4)(y^4)(27)(x^{(4\times3)})(y^{(3\times3)})=(16)(x^4)(y^4)(27)(x^{12})(y^{9})=(16)(27)(x^{(4+12)})(y^{(4+9)})=3076x^{16}y^{13}$
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