Step 1 :The question is asking us to simplify the expression \(y^{\frac{1}{2}} \cdot y^{\frac{3}{4}}\).
Step 2 :This is a basic exponent rule problem. When we multiply two exponents with the same base, we add the exponents.
Step 3 :So, we need to add \(\frac{1}{2}\) and \(\frac{3}{4}\) to simplify the expression.
Step 4 :The simplified form of the expression \(y^{\frac{1}{2}} \cdot y^{\frac{3}{4}}\) is \(\boxed{y^{\frac{5}{4}}}\).