what is the last digit of 6¹⁰⁰
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Answered by
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
14
Answer: 6
Step-by-step explanation:
6 to any power ends with 6.
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