Question

How do you simplify `i^13`?

Answer 1

`i`

Explanation:

`i=sqrt-1`

`i^2=-1`

`i^3=i`

`i^4=1`

multiplying bi `i` repeats the pattern.

So any `i^(4n)=i`

Since `13-=1(mod4)`

`i^(13)=i^1=i`