# How do you simplify #(-243)^(3/5)#?

##### 1 Answer

Feb 19, 2017

-27

#### Explanation:

With this type of question, see that an exponent in the form of

In our case, we're being asked to take -243 to the 3rd power and also to take the 5th root. This will be easier if we first see that:

And so we can rewrite our question as

We can now apply the rule that