Question

How do you simplify `i^28`?

Answer 1

`i^28 = 1`

Explanation:

We will use the following:

• `i^4 = i*i*i*i = i^2*i^2 = -1*-1 = 1`
• `a^(bc) = (a^b)^c`

With these, we have

`i^28 = i^(4*7) = (i^4)^7 = 1^7 = 1`