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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:
- \(-6\).

Would you like more details on imaginary numbers or multiplication steps? 

### 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.

Learn how to simplify the expression -2i(-3i) by applying the properties of imaginary numbers and multiplication. This problem covers key concepts in complex numbers and imaginary units, suitable for high school students.

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