Question

Which is the digit in the unit place of 2 power 100?​

Answer 1

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Here the answer will be 6.

Now see,

2^1=2,

2^2=4,

2^3=8,

2^4=16,

2^5=32,

2^6=64,

2^7=128,

2^8=256,

Let me observe what is happening with Numbers getting from 2^n.

There is cylicity for unit place digit in 2^n.

This cylicity of unit place is like {2,4,8,6}

2^100, Here the Power can be divided completely by 4.

2^(4 × 25),

So the unit digit will be 6.