# How do you simplify # -4^(-5/2)#?

##### 2 Answers

Let's start with the negative exponent.

We can appy the following power rule:

So,

As next, let's take care of the

First of all, the fraction can be split into

Another power rule states:

Here, this means that you can either compute

Let's stick with

What does

So you get

In total, your solution is:

- Make the exponent positive
- A bit of algebra

#### Explanation:

Let's start off by having a look at the expression. The minus sign is not a part of the base (which is 4), so therefore, we can write the expression like this:

When we have to deal with negative exponents, we have a set of rules that simplyfies them. One of them is:

Another one, that we will use to convert exponents into square roots is:

So let's begin!

We already have

Followed by the rule about exponents into square roots:

Just some algebra that remains!