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.