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

Given :

The given term is $6^{100}$.

To find :

We have to find the last digit of $6^{100}$.

Solution :

$6^{100}$

$6^1 = 6$

$6^2 = 6 \times 6 = 36$

$6^3 =  6 \times 6 \times 6= 216$

So, we can conclude that 6 to the power any number ends with 6.

So, $6^{100}$ also ends with the number 6.

Therefore, the last digit of $6^{100}$ is 6.

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Updated on: 10-Oct-2022

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