Question

What is the last digit of 6^100.

Answer 1

Hi,
This is related to concept of numbers

in the unit digits place of the powers

of natural number.

The power of 6 any index repetition 6

i.e, (6)^any power ----- the last digit is 6 only.

Example:
i) 6^1 = 6

ii) 6 ^2 = 36

iii)6*^3 = 216
.

.
.
the last digit in the expansion

of 6 ^100 is 6

Answer 2

6^1=6

6^2=36

Therefore

periodicity =1

so,the last digit of 6^100 is 6