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Question

Find the value of
8113×57613

A
36
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B
40
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C
26
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D
30
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Solution

The correct option is A 36

8113×57613=(81×576)13
={(32×32)×(43×32)}1/3
=(32+2+2×43)13
=(36×43)13
=(36)13×(43)13 [Using: (x×y)a=xa×ya]
=36×13×43×13 [Using: (xa)b=xab]
=32×4
=9×4
=36


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