Math, asked by jakkuladinesh829, 11 months ago

what is the last digit of 6¹⁰⁰​

Answers

Answered by Anonymous
36

Answer:

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Step-by-step explanation:

The cyclicity of 6 is 1.

Cyclicity of a number is the number of times after which the number repeats itself in a pattern.

6^1=6 (here ‘^’ means to the power)

6^2=36

6^3=216

Look at the unit digit the unit digit is always 6. This is what cyclicity implies so whatever would be the power of 6 it’s unit digit would always be 6. Same is te case with 5 the cyclicity of 5 is also 1. The cyclicity of 4 & 9 is 2. You could verify it by yourself.

So now coming into your question since the cyclicity of 6 is 1 hence the unit digit/last digit of 6^100 =6.

Answered by dheryamittal
14

Answer: 6

Step-by-step explanation:

6 to any power ends with 6.

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