Question

simplify i^25

Answer 1

i is equal to what?

Answer 2

is it iota?

Answer 3

Make use of this:\[i^2=-1\]\[i^4=(i^2)^2=(-1)^2=1\]
so take off multiples of 4 from 25 to simplify the expression.

Answer 4

e.g.:\[i^9=i^4\times i^4\times i=1\times1\times i=i\]