# How do you simplify #1/ (7x^-4y^-1)# with positive exponents?

##### 1 Answer

Jun 20, 2016

Simplified, your expression is equivalent to

#### Explanation:

All negative exponents with non-zero bases hold the following identity:

To be sure that this question can be sensibly solved, I will also elaborate that a reciprocal is a self-inverse function.

Much like subtraction (Example: (

So in short:

Applying the first demonstrated identity will look like so:

Now we will apply the second demonstrated rule:

Yielding the simplified expression.