Question

Simplify the complex number i^39 as much as possible.

Answer 1

-i

Explanation:

i =
`√(-1)`

`i^(2)` = - 1

Every
`i^(x)` will be equal to -1, when n is even.

Break apart
`i^(39)` into (
`i^(38)`)(
`i^(1)`)

Since 38 is even,
`i^(38)` will be equal to -1

-1*(
`i^(1)`) = -i