(2i)(-9i).jpeg "(-4i)(2i)(-9i)")
Simplifying Complex Number Multiplication: (-4i)(2i)(-9i)
This article will guide you through the process of simplifying the complex number multiplication: (-4i)(2i)(-9i).
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 (i² = -1).
Simplifying the Expression
Let's simplify the given expression step-by-step:
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Multiply the first two factors: (-4i)(2i) = -8i²
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Substitute i² with -1: -8i² = -8(-1) = 8
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Multiply the result with the third factor: 8(-9i) = -72i
Therefore, the simplified form of (-4i)(2i)(-9i) is -72i.
Key Points
- Remember that i² = -1. This is crucial for simplifying expressions involving complex numbers.
- Treat complex numbers like any other algebraic expression when performing multiplication.
- The final result of the multiplication is a complex number in the form bi, where b is a real number.