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Question

The value of 3×(2)13×7×(6)13×5×(18)13 is


A

545

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B

500

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C

630

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D

400

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Solution

The correct option is C

630


Given 3×(2)13×7×(6)13×5×(18)13
(ab)m = am×bm
(3×7×5)×(2×6×18)13
105×(2×6×6×3)13

[105]×[63]13

(am)n = (a)m×n
[105]×[6]3×13=105×6=630


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