# How do you simplify #i^279#?

##### 1 Answer

Jan 14, 2016

An easy **trick** is to simply divide 279 by 4 and use the remainder to find your answer ...

#### Explanation:

Exponential powers of imaginary number **only 4 possible results** :

Now, **divide the exponent by 4** and find the **remainder** .

For example, **Remainder**

Next, simply look up the value of

So,

hope that helped