Cyclical in Nature
Number Theory
Level
3
Evaluate the last digit of the expression without using a supercomputer.
The answer is 4.
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1 solution
Moderator note:
Simple standard approach.
Last digit of 4 follows a cyclic pattern .
Since 2 0 0 0 0 0 0 0 0 0 0 0 0 1 ≡ 1 ( mod 4 ) , the answer is 4 1 = 4 .