(5i)(-i).jpeg "(-2i)(5i)(-i)")
Multiplying Complex Numbers: (-2i)(5i)(-i)
This article will guide you through multiplying the complex numbers (-2i)(5i)(-i).
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 treat them like binomials and use the distributive property. Remember that i² = -1.
Calculation
Let's break down the multiplication step-by-step:
- Start with the first two factors: (-2i)(5i) = -10i²
- Substitute i² with -1: -10(-1) = 10
- Multiply the result by the remaining factor: 10(-i) = -10i
Conclusion
Therefore, the product of (-2i)(5i)(-i) is -10i.