Question

Find the last digit of 14^196.
or Solve 14^196 (mod 10).

Answer 1

The last digit of 14^196 is 6.

4¹ = 4, 4² = 16, 4³ = 64, 4⁴ = 256,...

For n = 1, 2, 3,...

If n is odd, then the last digit of 4^n is 4.

If n is even, then the last digit of 4^n is 6.

Since 196 is even, the last digit of 14^196 is 6.