Question: -\left(\frac{-30}{5}\right)^2

Solution

The problem is to evaluate the expression: \[ -\left(-\frac{30}{5}\right)^2 \] First, simplify the fraction inside the parentheses: \[ -\frac{30}{5} = -6 \] Now substitute back into the expression: \[ -\left(-6\right)^2 \] Calculate the square: \[ (-6)^2 = 36 \] Then apply the negative sign outside the parentheses: \[ -36 \] Therefore, the final answer is: \[ -36 \]