# How do you simplify #root3(-16x^8)#?

##### 1 Answer

Nov 16, 2016

#### Answer:

#### Explanation:

We have:

I'm going to rewrite the terms under the root sign into terms of cubes:

The cube root and the cubes inside the root are inverse functions, so we simply end up with the base term. Everything else is a "remainder" and stays within the root sign:

and cleaning this up a bit:

While there is the same term inside as outside the root sign, we can't really factor it more than where we are, so I'll leave it here.