Follow the proper order of operations to evaluate the following. \( \frac{-7\left(5^{2}-20\right)}{9-14} \)

Certainly! Let's evaluate the expression step by step using the proper order of operations (PEMDAS/BODMAS): \[ \frac{-7\left(5^{2}-20\right)}{9-14} \] ### Step 1: Parentheses First, evaluate the expressions inside the parentheses. 1. **Exponentiation inside the numerator:** \[ 5^{2} = 25 \] 2. **Subtract within the numerator's parentheses:** \[ 25 - 20 = 5 \] 3. **Subtract within the denominator:** \[ 9 - 14 = -5 \] Now, the expression simplifies to: \[ \frac{-7 \times 5}{-5} \] ### Step 2: Multiplication Multiply \(-7\) by \(5\): \[ -7 \times 5 = -35 \] Now, the expression is: \[ \frac{-35}{-5} \] ### Step 3: Division Divide \(-35\) by \(-5\): \[ \frac{-35}{-5} = 7 \] ### Final Answer \[ 7 \]