# How do you simplify and write #((3x^-2 y^3) /(2xy))^-2# with positive exponents?

##### 2 Answers

#### Explanation:

We start with

First thing's first, let's get rewrite

Now, in order to change the sign of the power, we need to move it into the numerator denominator. What I mean is, if we have a negative power in the denominator, like *numerator* to change the sign. If we do that, we get

For this problem, that means moving the components around, like this:

We should now have

#### Explanation:

There is a nifty rule when working with indices which states that if a fraction is raised to a negative index, if you find the reciprocal of the fraction the index becomes positive:

Therefore in the question posed, we can get the following:

Now square everything in the bracket:

Simplifying the indices gives the final answer: