Evaluate. \[ \begin{array}{c}-(2)^{4}=\square \\ (-4)^{3}=\square\end{array} \]

Let's evaluate each expression step by step. 1. For the first expression, \(- (2)^{4}\): - First, calculate \((2)^{4}\): \[ (2)^{4} = 2 \times 2 \times 2 \times 2 = 16 \] - Now, apply the negative sign: \[ - (2)^{4} = -16 \] So, \(- (2)^{4} = -16\). 2. For the second expression, \((-4)^{3}\): - To find \((-4)^{3}\), compute: \[ (-4)^{3} = (-4) \times (-4) \times (-4) \] - Calculate \((-4) \times (-4)\): \[ (-4) \times (-4) = 16 \] - Now, multiply that result by \(-4\): \[ 16 \times (-4) = -64 \] Thus, \((-4)^{3} = -64\). In summary: \[ \begin{array}{c} -(2)^{4} = -16 \\ (-4)^{3} = -64 \end{array} \]