What is 2 to the power 66 when divided by 10?
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This question is the same as asking what is the unit digit of 2^66. The powers of 2 show the repititive unit digit pattern of 2,4,8,6................ where 4 is for every power in the from 4m+2. Since 66 = 4×16+2, it clearly suggests that the answer is 4.
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