What is the remainder when 2^2010 is divided by 7?
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287.428571 is the answer
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would like to add the following shortcuts:
1)
Remainder of (ax + 1)^n / a = 1
Example: 46^3578 / 9 will have a remainder of 1.
2)
Similarly, remainder of (ax - 1)^n / a = 1 (if n is even) or -1 (if n is odd)
Example: 27^79 / 14 will have a remainder of -1 or 13.
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