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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