# How do you simplify #i^123458#?

##### 1 Answer

Nov 26, 2015

Factor out

#### Explanation:

The nice thing about powers of "i" is that there are only four possible answers: i, -i, 1, and -1.

Since **"i" to a power of any multiple of four ( #i^4,i^8,i^16,...)# is 1** , so factor out i to the power that is the next lower multiple of four, in this case 123456.