SOLUTION: i^5

Algebra ->  Test -> SOLUTION: i^5      Log On


   

Question 1176960: i^5
Found 2 solutions by josgarithmetic, CubeyThePenguin:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
The powers of i repeat in a cycle of 4.

i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1

Notice that 5 divided by 4 leaves a remainder of 1, so i%5E5+=+i%5E1+=+i.