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Question

Simplify the following (25)^3\2 × (243)^3\5  ÷  (16)^5\4 × (8)^4\3


Solution

(25)3/2 x (243)3/5 / (16)5/4 x(8)4/3

= (251/2)x (2431/5)/ (161/4)x(81/3)4

= 53 x 33 / 25 x 24

= (5 x 3)3 / 2(5+4)

= (15)/ (2)9

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