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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!

Simplify the expression (y^(1/2)) / (y^(1/4)) using properties of exponents. Write the answer with positive exponents.

Learn how to simplify the expression (y^(1/2)) / (y^(1/4)) using exponent rules. This step-by-step solution is perfect for students in Grades 7-9 learning about algebra and exponents.

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