Help with simplifying square root expressions.

Question

Problems go like this:

     16x⁶y⁴
4√---------
     81x²y⁸

Just need some help making them into the simplified expressions.

Answer 1

Simplify it in pieces:

 

The numerator: 

√4²(x³)²(y²)²

4x³y²

 

The denominator:

√9²x²(y⁴)²

3xy⁴

 

Now the fraction is:

4x³y² / 3xy⁴

4x / 3y²

 

Multiply by the 4:

16x / 3y²