# How do you simplify #i^247#?

##### 1 Answer

Jan 19, 2016

A great **trick** to solving this type of problem is understanding that there are only **4 possible solution** ...

#### Explanation:

Raising the imaginary number **4 possible solutions** :

Here's the **trick** ... divide the exponent by the number 4 and calculate the *remainder*. Then, **use the remainder as the new exponent** .

In this example,

Answer:

hope that helped