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geerky42 (geerky42):
Find the units digit of 13²º¹²
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hartnn (hartnn):
3^1= 3^2= 3^3= 3^4=
hartnn (hartnn):
sorry, 13^ ....
geerky42 (geerky42):
13¹ = 3 13² = 169 13³ = 2197 13⁴ = 28561 13⁵ = 371293
hartnn (hartnn):
see the pattern ? 3 9 7 1 3 9 7 1 . .
geerky42 (geerky42):
Well, how can I know what 13²º¹² is?
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hartnn (hartnn):
13^(4n) has last digit = 1
geerky42 (geerky42):
So the answer is 1 since 2012 is divisible of 4?
hartnn (hartnn):
yes.
hartnn (hartnn):
any doubts ?
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