Question

How do you simplify `i^7`?

Answer 1

`i^7= -i`

Explanation:

`i^7 = (i^2)^3xxi`

`color(white)("XXX")=(-1)^3xxi`

`color(white)("XXX")=(-1)^2xx(-1)xxi`

`color(white)("XXX")=1xx(-1)xxi`

`color(white)("XXX")=-i`