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Question -

Show that is divisible by 64,whenever n is a positive integer.



Answer -

In order to show that  is divisible by 64, it has to be proved that,
 , where k is some natural number
By Binomial Theorem,
 
For a = 8 and m = n + 1, we obtain

Thus, is divisible by 64,whenever n is a positive integer.

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