I can see that you've uploaded two mathematical expressions for simplification. Let's solve each one:

Problem 2:

$\frac{5z^5 w^4}{9z w^2}$

1. Simplify the powers of $z$: $z^5 / z = z^{5-1} = z^4$.
2. Simplify the powers of $w$: $w^4 / w^2 = w^{4-2} = w^2$.

So the simplified expression is: $\frac{5z^4 w^2}{9}$

Problem 3:

$\frac{gy}{4g^6 y^4}$

1. Simplify the powers of $g$: $g / g^6 = g^{1-6} = g^{-5}$.
2. Simplify the powers of $y$: $y / y^4 = y^{1-4} = y^{-3}$.

So the simplified expression is: $\frac{g^{-5} y^{-3}}{4} = \frac{1}{4g^5 y^3}$

If you'd like further details or have any questions, feel free to ask!

Here are some related questions for practice:

1. How would you simplify $\frac{a^3 b^5}{a^2 b^2}$?
2. How do you simplify expressions with negative exponents?
3. Can you explain how to simplify fractional exponents?
4. What happens when you have $x^0$ in a fraction?
5. How can we factor polynomials with exponents?

Tip: Always remember the rule of subtracting exponents when dividing powers with the same base!