Imaginary Number: POWERS of i: Is there a pattern? Ex:

Example 1:Simplifying Powers of i [A] [B] [C] [D] [E]

Example 2Simplify Square Roots of Negative Numbers [A] [B] [E] [F] [C] [D]

Example 3Multiplying Pure Imaginaries 1 st : Convert all square roots into imaginary number notation [A][B] [C][D] [E] [F]

Example 4: Operations with Complex Numbers Complex Number: binomial term of real and imaginary # (a +bi) [A] [C] Add and Subtract: Combine Like Terms Multiply: FOIL, Distributive Property, Laws of Exponents Division: Rationalize with Conjugates [B] [D]

Example 5: Simplifying Using Complex Conjugates [D] [E] [A] [B] [C]

Example 6: Equations with Imaginary Solutions [A] [B] Additional examples to come with quadratic formula [C] [D]

PRACTICE: Equations with Imaginary Solutions [A] [B] [C] [D]