# How do you simplify #((4a^3 b)/(a^2 b^3)) ((3b^2)/(2a^2 b^4))#?

##### 2 Answers

#### Explanation:

First of all, you can simplify each fraction on its own: to make things easier to see, you can rewrite the first fraction as a multiplication of three fractions, each involving only one variable, or the numeric part:

Now you can simplify exponents:

We can do the same for the second fraction:

We can simplify exponents on the

So, the multiplication between the two fraction has become

As a final step, we can **cross simplify** factor, which means that we can simplify the same factors if they appear at the numerator of one fraction and the denominator of the other. In our case, we have