Question

How do you simplify `i14`?

Answer 1

`-1`

Explanation:

Rewrite `i^14` as `(i^4)^3xxi^2`.

If `i=sqrt(-1),` then `i^2=-1`. From here `(i^2)^2=(-1)^2`, so `i^4=1`.

If `i^4=1`, then we can say that:

`i^14=(1)^3xxi^2`

`=i^2`

`=-1`