Simplify.

((y) with superscript (3/4)/(y) with superscript (1/4))

To simplify the expression \(\left(\frac{y^{3/4}}{y^{1/4}}\right)\), we can use the property of exponents which states that \(\frac{a^m}{a^n} = a^{m-n}\).

Given:

\[
\frac{y^{3/4}}{y^{1/4}}
\]

We subtract the exponents:

\[
y^{3/4 - 1/4}
\]

\[
y^{2/4}
\]

\[
y^{1/2}
\]

Thus, the simplified form of the expression is:

\[
y^{1/2}
\]

or

\[
\sqrt{y}
\]

Would you like more details or have any questions?

Here are some more questions you might be interested in:

1. How do you simplify \(\frac{x^5}{x^2}\)?
2. What is the simplified form of \((x^3 \cdot x^2)^2\)?
3. How do you solve \(x^{3/4} = 16\) for \(x\)?
4. Can you explain the properties of exponents in detail?
5. How do you simplify \((2x)^{-3}\)?

**Tip:** When dealing with exponents, remember the basic rules: multiplying powers adds the exponents, dividing powers subtracts the exponents, and raising a power to another power multiplies the exponents.

Learn how to simplify the expression (y^(3/4))/(y^(1/4)) step-by-step with detailed explanations. This problem involves exponents and uses the formula for dividing powers. Suitable for students in Grades 7-9.

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