Question

units digit of 6 power 125 is

Answer 1

Answer:

6

Step-by-step explanation:

(6)power 125

unit digit;

6²= 36

6³=216

anything  power 6 , its unit digit is 6

Answer 2

The units digit of  $6^{125}$ is 6.

Given:

The number $6^{125}$.

To Find:

The unit digit of $6^{125}$.

Solution:

The cyclicity of a number is the value of unit digits that a number can take.

To find the unit digit of  $6^{125}$, we need to look at the cyclicity of 6.

The cyclicity of 6 is given below:

$6^{1}$ = 6

6² = 36 = 6

6³ = 216 = 6

We observe that the cyclicity of 6 is 1, i.e. no matter what the power of 6 is, we will always get 6 in the unit place.

∴ The units digit of  $6^{125}$ is 6.

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