(-2i)(8i)

Jasonbradley

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Jun 16, 2024

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Multiplying Complex Numbers: (-2i)(8i)

This article will explain how to multiply the complex numbers (-2i) and (8i).

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.

Multiplying Complex Numbers

To multiply complex numbers, we use the distributive property, similar to multiplying binomials. We multiply each term of the first complex number by each term of the second complex number.

Solving (-2i)(8i)

1. Apply the distributive property: (-2i)(8i) = (-2i * 8i)

2. Simplify: -2i * 8i = -16i²

3. Substitute i² with -1: -16i² = -16 * (-1)

4. Calculate the final result: -16 * (-1) = 16

Therefore, (-2i)(8i) = 16.

Conclusion

Multiplying complex numbers is a straightforward process that involves applying the distributive property and substituting i² with -1. In this case, we found that the product of (-2i) and (8i) is a real number, 16.