Express $$ -5 \sqrt{-81} $$ as a complex number (in terms of $$ i $$ ): $$ -5 \sqrt{-81}=\square $$

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To express $$ -5 \sqrt{-81} $$ as a complex number, follow these steps:

1. **Simplify the Square Root of a Negative Number:**
   
   $$
   \sqrt{-81} = \sqrt{81} \times \sqrt{-1} = 9i
   $$
   
   Here, $$ i $$ is the imaginary unit, where $$ i^2 = -1 $$.

2. **Multiply by -5:**
   
   $$
   -5 \times 9i = -45i
   $$

So, the expression $$ -5 \sqrt{-81} $$ as a complex number is:

$$
-5 \sqrt{-81} = -45i
$$

**Answer:**

$$-5 \sqrt{-81} = -45i$$
$$-5 \sqrt{-81} = -45i$$

Express as a complex number (in terms of ):

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