Question

How do you simplify `i^266`?

Answer 1

`-1`

Explanation:

The powers of `i` go as follow:

• `i=sqrt(-1)`
• `i^2=-1`
• `i^4=(i^2)^2=1`

Thus, we can rewrite `i^266` in terms of these:

`i^266=(i^4)^66(i^2)=(1)^66(-1)=-1`