The unit digit of a number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 189 ends in 9. The powers of 9 have a cycle of 2:

- 9^1 = 9
- 9^2 = 81
- 9^3 = 729
- 9^4 = 6561

As you can see, the unit digit alternates between 9 and 1.

Since 723 is odd, the unit digit of 189^723 will be the same as the unit digit of 9^1, which is 9.

So, the unit digit of 189^723 is 9.

Question

The unit digit of a number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 189 ends in 9. The powers of 9 have a cycle of 2:

- 9^1 = 9
- 9^2 = 81
- 9^3 = 729
- 9^4 = 6561

As you can see, the unit digit alternates between 9 and 1.

Since 723 is odd, the unit digit of 189^723 will be the same as the unit digit of 9^1, which is 9.

So, the unit digit of 189^723 is 9.

Knowee AI · Accepted Answer

The unit digit of a number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 189 ends in 9. The powers of 9 have a cycle of 2:

- 9^1 = 9
- 9^2 = 81
- 9^3 = 729
- 9^4 = 6561

As you can see, the unit digit alternates between 9 and 1.

Since 723 is odd, the unit digit of 189^723 will be the same as the unit digit of 9^1, which is 9.

So, the unit digit of 189^723 is 9.

What is the unit digit in 189^723?