Question

What is the last digit of $6^{100}$?

Answer 1

This is related to concept of numbers in the unit digits place of the power of natural number.

The power of 6 any index repetation 6

i.e $(6{)}^{(anypower................)}$ the last digit will be 6 only.

Example

$1)6^1=6$

$2)6^2=36$

$3)6^3=216$

So, the last digit in the expansion of $6^{100}$ is $6$.