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The simplified form of the expression \((3i)^3 \times (-2i)^2\) is \(108i\).

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Here are some related questions to deepen understanding:
1. How do you calculate powers of complex numbers like \(i^3\) or \(i^2\)?
2. What is the general rule for simplifying powers of imaginary numbers?
3. Can you break down each step in simplifying \((3i)^3\)?
4. How do you apply the distributive property when multiplying complex numbers?
5. What happens if we multiply two complex numbers with both real and imaginary parts?

**Tip:** Remember that \(i^2 = -1\), which is key when working with powers of imaginary numbers.

Explore the steps to simplify the expression (3i)^3 × (-2i)^2. This problem covers essential concepts in complex numbers, including powers of imaginary numbers and how i^2 = -1 is used in simplifying. Suitable for students in Grades 9-12.

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