Complex Numbers

Powers of i
Example 1 Simplify i².
Example 2 Powers of i > 4

Complex Numbers
Example 3 Simplify
Example 4 Simplify
Example 5 Simplify

Addition, Subtraction of Complex Numbers
Example 6 Simplify q = (4 - 3i) + (5 - 7i)
Example 7 Simplify w = (4 - 3i) - (5 - 7i)

Multiplication of Complex Numbers
Example 8 Simplify (2i) * (7i)
Example 9 Simplify (-5i)²
Example 10 Simplify q = -3 i * (4 - 5 i )
Example 11 Simplify q = (5 - 2i) * (3 + 4i)
Example 12 Simplify w = (2 + i)*(2 - i)
Example 13 Simplify q = (3 + i )²
Example 14 Simplify u = (2 - 3i)² + (2 - 3i)

Division of Complex Numbers
Example 15 Simplify

Rationalize Denominator with Conjugate
Example 16 Simplify
Example 17 Simplify
Example 18 Simplify