# How do you simplify #i^27#?

##### 1 Answer

Nov 9, 2015

#### Explanation:

Now, we know that

Substituting that in gives us

.

.

.

The above is a formal way of going about it, but for quick mental calculations, remembering that

This leaves you with an exponent of 0, 1, 2, or 3 (any greater and there is another multiple of 4 to remove).

Then it is easy to work out that