(7i)(-4i).jpeg "(-2i)(7i)(-4i)")
Simplifying Complex Numbers: (-2i)(7i)(-4i)
This article will guide you through the process of simplifying the expression (-2i)(7i)(-4i).
Understanding Complex Numbers
Before we begin, let's quickly recap what complex numbers are. A complex number is a number 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
-
Multiplication: Start by multiplying the first two terms: (-2i)(7i) = -14i²
-
Substitute i²: Remember that i² = -1. Substitute this into the expression: -14i² = -14(-1) = 14
-
Multiply with the remaining term: Now, multiply the result by the last term: 14(-4i) = -56i
Final Answer
Therefore, the simplified form of (-2i)(7i)(-4i) is -56i.