\begin{tabular}{|l} Directions: Simplify the \( f \) \\ \hline 1. \( \frac{y^{4}}{y^{2}} \) \\ \hline\end{tabular}

To simplify the expression \( \frac{y^{4}}{y^{2}} \), you can use the **laws of exponents**. Specifically, when dividing powers with the same base, you subtract the exponents: \[ \frac{y^{4}}{y^{2}} = y^{4 - 2} = y^{2} \] **Final Simplified Form:** \[ y^{2} \] **Explanation:** 1. **Identify the base and exponents:** - Base: \( y \) - Exponents: \( 4 \) (numerator) and \( 2 \) (denominator) 2. **Apply the division rule for exponents:** \[ \frac{y^{a}}{y^{b}} = y^{a - b} \] So, \[ \frac{y^{4}}{y^{2}} = y^{4 - 2} = y^{2} \] 3. **Result:** The expression simplifies to \( y^{2} \).