The expression you need to simplify is:

$\frac{y^{\frac{1}{2}}}{y^{\frac{1}{4}}}$

Steps to simplify:

1. Apply the property of exponents that states: $\frac{a^m}{a^n} = a^{m-n}$ In this case, $a = y$, $m = \frac{1}{2}$, and $n = \frac{1}{4}$.

2. Subtract the exponents: $y^{\frac{1}{2} - \frac{1}{4}} = y^{\frac{2}{4} - \frac{1}{4}} = y^{\frac{1}{4}}$

Thus, the simplified expression is:

$y^{\frac{1}{4}}$

Would you like more details on this process or have any questions?

Here are five related questions for further practice:

1. How do you simplify $\frac{x^{3/5}}{x^{1/5}}$?
2. What is the result of $\frac{a^{7/8}}{a^{3/8}}$?
3. Can you simplify $\frac{b^{2/3}}{b^{1/6}}$?
4. How would you simplify $y^{2/5} \cdot y^{3/5}$?
5. How can you rewrite $(x^3)^4$ using properties of exponents?

Tip: When dividing exponents with the same base, subtract the exponents!