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@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.answer 3 hai (i didnt use maths, but python)
@Cheetahhh
it came in an aptitude test
so I wanted to know how touse, I mean I used binomial expanison, but I didn't knew uske baad what should I do
like 2000^1000 = (13*153 + 11)^1000 , now binomial expansion leaves me, to (11)^1000 %13.
I mean yeah I can continue like
further, like 121^500 = 4^500 = 2^1000 to..
then futher expanding.. eventually I will reach.. but isn't it too long for one question?
I mean questions are like solve 25 questions in 20m mins.. I can't give 5 mins to one question
You can write 11 as 13-2
Then it's (-2)^1000
You can write this as
16(2)^996
Now I did that cause 996 is divisible by 6 and is 1666
Hence it is 16(64)^166
Write 64 as 65-1 as 65 is a multiple of 13
Hence we get 16(135-1)^1000
Then we get 16 phir remainder aagaya 3
+solved @¹¹⁷sos
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