Perform the indicated operation \& simplify. Express the answer as a complex number. \( (8 i)(-11 i)=\square \)

To perform the operation \( (8i) \times (-11i) \) and express the result as a complex number, follow these steps: 1. **Multiply the coefficients:** \[ 8 \times (-11) = -88 \] 2. **Multiply the imaginary units:** \[ i \times i = i^2 \] Recall that \( i^2 = -1 \). 3. **Combine the results:** \[ -88 \times i^2 = -88 \times (-1) = 88 \] 4. **Express as a complex number:** \[ 88 + 0i \] However, since the imaginary part is zero, it simplifies to just \( 88 \). **Final Answer:** \[ (8i)(-11i) = 88 \]