\begin{tabular}{l} Evaluate. Write your answers as fractions. \\ \( -\left(\frac{4}{5}\right)^{4}=\square \) \\ \( \left(-\frac{3}{2}\right)^{2}=\square \) \\ \hline\( \frac{\square}{\square} \) \\ \hline\end{tabular}

Calculate the value by following steps: - step0: Calculate: \(-\left(\frac{4}{5}\right)^{4}\) - step1: Evaluate the power: \(-\frac{256}{625}\) Calculate or simplify the expression \( (-3/2)^2 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{-3}{2}\right)^{2}\) - step1: Rewrite the fraction: \(\left(-\frac{3}{2}\right)^{2}\) - step2: Use the properties of exponents: \(\frac{\left(-3\right)^{2}}{2^{2}}\) - step3: Evaluate the power: \(\frac{9}{2^{2}}\) - step4: Evaluate the power: \(\frac{9}{4}\) Let's evaluate the expressions step by step. 1. **Evaluate \( -\left(\frac{4}{5}\right)^{4} \)**: \[ \left(\frac{4}{5}\right)^{4} = \frac{4^4}{5^4} = \frac{256}{625} \] Therefore, \[ -\left(\frac{4}{5}\right)^{4} = -\frac{256}{625} \] 2. **Evaluate \( \left(-\frac{3}{2}\right)^{2} \)**: \[ \left(-\frac{3}{2}\right)^{2} = \left(-3\right)^{2} \cdot \left(\frac{1}{2}\right)^{2} = \frac{9}{4} \] Now we have: - \( -\left(\frac{4}{5}\right)^{4} = -\frac{256}{625} \) - \( \left(-\frac{3}{2}\right)^{2} = \frac{9}{4} \) 3. **Now, we need to evaluate \( \frac{\square}{\square} \)**: \[ \frac{-\frac{256}{625}}{\frac{9}{4}} = -\frac{256}{625} \cdot \frac{4}{9} = -\frac{256 \cdot 4}{625 \cdot 9} \] Calculating the numerator and denominator: - Numerator: \( 256 \cdot 4 = 1024 \) - Denominator: \( 625 \cdot 9 = 5625 \) Thus, \[ \frac{-\frac{256}{625}}{\frac{9}{4}} = -\frac{1024}{5625} \] Final answers: - \( -\left(\frac{4}{5}\right)^{4} = -\frac{256}{625} \) - \( \left(-\frac{3}{2}\right)^{2} = \frac{9}{4} \) - \( \frac{\square}{\square} = -\frac{1024}{5625} \)