To simplify the expression $-2i(-3i)$, we can proceed as follows:

1. Multiply the constants: $-2 \times -3 = 6$.
2. Multiply the imaginary units: $i \times i = i^2$.

Since $i^2 = -1$, we substitute it in:

$6 \times i^2 = 6 \times (-1) = -6$

So, the simplified expression is $-6$.

Answer

The correct choice is:

• $-6$.

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Related Questions

1. What happens when we multiply two imaginary numbers?
2. How does the property $i^2 = -1$ affect calculations?
3. What is the result of $i^3$ and $i^4$ in terms of $i$ and real numbers?
4. How would this change if we had $-2i(+3i)$ instead?
5. Can the imaginary unit $i$ be used in real-world applications?

Tip

Remember, $i^2 = -1$ is a fundamental property in complex number calculations and helps simplify expressions with imaginary units.