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##### Administrator

**Staff member**

i = sqrt(-1)

i^2 = sqrt(-1)*sqrt(-1) = -1

i^3 = I^2 * I = -sqrt(-1)

i^4 = I^2 * I^2 = -1 * -1 = 1

i^100 can be broken down. The easiest way is to check for powers of 4:

100 = 25 * 4 so we have:

(i^4)^25

i^4 = 1, so we have:

(i)^25 = 1