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

Question

UpStudy AI · Accepted Answer

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:**
$$
(8i)(-11i) = 88
$$
$$ (8i)(-11i) = 88 $$

Perform the indicated operation & simplify. Express the answer as
a complex number.