(-3i)(7i)(-i)

Jasonbradley

less than a minute read

·

Jun 16, 2024

13

Share

Multiplying Complex Numbers: (-3i)(7i)(-i)

This problem involves multiplying complex numbers. Let's break down the steps:

Understanding Complex Numbers

Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit. The imaginary unit i is defined as the square root of -1, meaning i² = -1.

Multiplying Complex Numbers

To multiply complex numbers, we use the distributive property just like we would with real numbers.

Step-by-Step Solution

1. Simplify the first two terms: (-3i)(7i) = -21i²

2. Substitute -1 for i²: -21i² = -21(-1) = 21

3. Multiply the result by the remaining term: 21(-i) = -21i

Therefore, the product of (-3i)(7i)(-i) is -21i.