Fill in the blank to make equivalent rational expressions. \( \frac{3}{y^{4}}=\frac{\square}{2 y^{6}} \)

To create equivalent rational expressions, you can cross-multiply. The equation \( \frac{3}{y^{4}}=\frac{\square}{2 y^{6}} \) means you can set up the equation: \( 3 \cdot 2 y^{6} = \square \cdot y^{4} \). This simplifies to \( 6y^{6} = \square \cdot y^{4} \). Now, divide both sides by \( y^{4} \) (assuming \( y \neq 0 \)): \(\square = 6y^{2}.\) So the expression is \( \frac{3}{y^{4}}=\frac{6y^{2}}{2y^{6}} \). Don't forget, when working with rational expressions, ensure that you're upholding any restrictions on variables to avoid division by zero!