Cyclical in Nature

Evaluate the last digit of the expression 4 20000000000001 { 4 }^{ 20000000000001 } without using a supercomputer.


The answer is 4.

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1 solution

Arulx Z
Dec 10, 2015

Last digit of 4 follows a cyclic pattern .

Since 20000000000001 1 ( mod 4 ) 20000000000001\equiv 1\quad\left(\text{mod}\quad 4 \right) , the answer is 4 1 = 4 4^1 = 4 .

Moderator note:

Simple standard approach.

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