Question

How do you simplify `i^19`?

Answer 1

`i^19=i^3=-i`

Explanation:

There are only four solutions when i is raised to a positive integer:

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

Find the equivalent exponent by dividing the exponent by 4 , then the remainder will be the equivalent exponent.

`19/4= 4` with a remainder of 3

Answer: `i^3=-i`

hope that helped