Find the units digit of 24 to the power of 2023 is to find the units digit of 24^{2023}. The units unit of the base 24 is 4.

If 4 is raised to the power 1, the units is 4.

If 4 is raised to the power 2, the units digit is 6.

And then repeat as 4 is raised to large powers in the way if the power is odd, the units digit is 4 and if the power is even, the units digit is 6.

Since the exponent 2023 is odd, the units digit of 24^{2023} is 4

The units digit of 13^{34}

For the number 3 raised to powers, its units digit changes as follow

3^1 = 3

3^2 = 9

3^3 = 27

3^4 =81

And then repeat no matter what power is raised to

The exponent 34, when divided by 4 leaves reminder 2. Then The units digit of 13^{34} is given as 9.

Find the units digit in the expansion of 163 raised to 61 is to find the units digit of 163^{61}

The exponent is 61, which when divided by 4 gives a remainder 1.

Therefore, the units digit of 163^{61} is 3

Here, we have to find the units digit of 2^{91}

For the number 2 raised to powers, its units digit changes as follow

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

And then, repeat no matter what power is raised to.

Since the exponent 91 when divided by 4 leaves remainder 1. Hence, the units digit of 2 to the power of 91 is given as 2.

The last digit of 6 of power 2019

For the number 6, no matter what power is raised to, the units digit of the final number is always 6. Hence, the last digit of 6 of power 2019 is 6.

What is the unit digit in 57^{2020}?

For the number 7 raised to powers, its units digit could be 7, 9,3,1

7^1 = 7

7^2 = 49

7^3 = 343

7^4 = 2401

The power 2020 when divided by 4 leaves remainder 0. Therefore, the units digit of 57 to the power of 2020 is given as 1.