Let's simplify the expression given in the image:

$\frac{10x^7 y^5}{5x^7 y^3}$

Step-by-step Solution:

1. Simplify the coefficients: $\frac{10}{5} = 2$

2. Simplify the $x$-terms: $\frac{x^7}{x^7} = 1$

3. Simplify the $y$-terms: $\frac{y^5}{y^3} = y^{5-3} = y^2$

Putting it all together:

$\frac{10x^7 y^5}{5x^7 y^3} = 2y^2$

So, the simplified form is:

$\boxed{2y^2}$

This corresponds to option c.

Would you like more details or have any questions?

Related Questions:

1. How would you simplify $\frac{8x^5 y^6}{4x^3 y^2}$?
2. What is the result of $\frac{15a^3 b^4}{5a b^2}$?
3. How do you simplify $\frac{12m^6 n^4}{3m^2 n}$?
4. If $\frac{20p^8 q^5}{4p^4 q^2}$ is simplified, what would the result be?
5. What is the simplified form of $\frac{6x^2 y^3}{2x y}$?

Tip: Always subtract the exponents when dividing terms with the same base.