Question

What is the last digit of 2017 raise to power 2017?

Answer 1

Answer:

$\large\bold\red{7}$

Explanation:

We have to find the last digit of

${(2017)}^{2017}$

For that,

We have to find the remainder when the power, i.e, 2017 is dived by 4.

$= > 2017 =4 \times 504 + 1$

Therefore,

We have,

Remainder = 1.

Now,

This remainder will decide the last digit .

The last digit will be same as ${(2017)}^{1}$

Hence,

The last digit = 7