What digit does 2012 2012 end in? Options: A . &nbsp2 B . &nbsp6 C . &nbsp4 D . &nbsp8

What digit does 20122012 end in?

Question

What digit does

2012^{2012}

end in?

Options:

A . 2

B . 6

C . 4

D . 8

Answer: Option B
:
B
Since the number in the unit's place in 2012 is 2, we can find the last digit of the expression by considering only the power to which it is raised.
Now, we can write the following:

2012^{2012} =___2^{4 k}

. Therefore the last digit = 6.

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