Question

What is the ones digit in the number 2^2047

Answer 1

Your answer will be 8 ^^^

Answer 2

8

Explanation:

`2^1 = 2 \\ \\ 2^2 =4 \\ \\ 2^3 = 8 \\ \\ 2^4 = 16 \\ \\ 2^5 = 32`

So, the units digit is periodic order 4.

2047 leaves a remainder of 3 when divided by 4, so the units digit is 8.