# How do you simplify #(20x^5)/y^2 * ((x^2y^2)/(2x))^3#?

##### 1 Answer

#### Answer:

#### Explanation:

First of all, expand the power of the second factor: since the power of a fraction is the power of the numerator divided by the power of the denominator, we have that

Now, the power of a product is again the power of every single factor, so

The last rule we need is the one which states that when we deal with the power of a power, we must multiplicate the exponents:

The result is thus

Now we're ready to multiply and cross simplify:

So, we can simplify

Also,

So, we're left with