Question

What is the last digit of 2 power 100

Answer 1

Answer:

so last digit of 2^100=6. Originally Answered: What will be the last digit of 2^100 ? and so on. 2^100 ends with the same digit as 2^4 which is 6.

Answer 2

Answer:

6

Step-by-step explanation:

To Find:- Last digit of 2^100.

Solution:-

$2^{1} = 2$, $2^{2} = 4$, $2^{3} = 8$, $2^{4} = 16$, $2^{5} = 32$, etc.

Here, we notice that after 2^4 the unit digit of the value starts repeating itself, which means that the power cycle of 2 has a cyclicity of 4.

As we know, 100/4 = 25 i.e. it leaves a remainder of 0.

Therefore, from the above facts we can derive that 2^100 will have the last digit 6.

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