Question

How do you simplify `i^94`?

Answer 1

`i^94 =- 1`

Explanation:

`94 = 2xx47`
`rarr i^94 = (i^2)^47 = (-1)^47`

`(-1)^47 = (-1)^46xx(-1)`

`color(white)("XXXX")=((-1)^2)^23)xx(-1)`

`color(white)("XXXX")=(1^23)xx(-1)`

`color(white)("XXXX")=1xx(-1)`

`color(white)("XXXX")=-1`