Posted by alicia on Friday, February 8, 2013 at 8:42am.
How do you evaluate i to large powers such as i^1992, i^1993, and i^2000 without a calculator?

math  Steve, Friday, February 8, 2013 at 10:24am
since i^2 = 1, i^4 = 1.
So, divide the power by 4, since every factor of i^4 is just 1.
You will be left with one of the following:
i^0 = 1
i^1 = i
i^2 = 1
i^3 = i
For example, i^913 = i^1 = i
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