Question

what is the last digit of 6 power 100

Answer 1

The answer is given below :

6
6 × 6 = 36
6 × 6 × 6 = 216
6 × 6 × 6 × 6 = 1296
... ... ... ...

In this way, 6 × 6 comes in the products, which always leads to the last digit as 6.

So, the last digit of 6^100 is 6.

Thank you for your question.

Answer 2

Hi there!

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

It means,
6 raised to any power has th last digit as 6 only.

Verify :

i. 6¹ = 6

ii. 6² = 36

iii. 6³ = 216
.

.

.
So On....

Hence,
The last digit in the expansion of $6^{100}$ is 6

Hope it helps! :D

Cheers,
Ishaan Singh