CCGPS AG 4.3.4 Example 3

Find the result of [math](4 – 4i) ÷ (3 – 4i^3)[/math].

[list=1] [*]Simplify any powers of [math]i[/math]. [*]Simplify any expressions containing a power of [math]i[/math]. [*]Rewrite the expression as a fraction, using the simplified expression. Both numbers should be in the form [math]a + bi[/math]. [*]Find the complex conjugate of the denominator. [*]Rationalize the fraction by multiplying both the numerator and denominator by the complex conjugate of the denominator. [*]If possible, simplify the fraction. The answer can be left as a fraction, or simplified by dividing both terms in the numerator by the quantity in the denominator. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.