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: 43


$18,003,384 a^{45}b^{30}$

Work Step by Step

$(14a^7b^6)^3(9a^6b^3)^4=(14^3)(a^7)^3(b^6)^3(9^4)(a^6)^4(b^3)^4 =(2744)(a^{(7\times3)})(b^{(6\times3)})(6561)(a^{(6\times4)})(b^{(3\times4)}) =(2744)(a^{21})(b^{18})(6561)(a^{24})(b^{12}) =(2744)(6561)(a^{(21+24)})(b^{(18+12)}) =18,003,384a^{45}b^{30}$
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