Question

How do you simplify `i^-11`?

Answer 1

Simplify the expression by using the fact that `i^4 = 1` to find
`i^(-11) = i`

Explanation:

Using that `i^2 = -1` and thus `i^4 = (i^2)^2 = 1` we have

`i^-11 = 1/i^11 = i/(i*i^11)= i/i^12 = i/(i^4)^3 = i/1^3 =i/1 = i`