2. Aim: How do we operate the imaginary numbers? Do Now: 1. Simplify: 2. Simplify: 3. Simplify: Homework: p.208 #20,22,24,26,27,36,38,40 p.209 # 2,4

3. Why is 12i 2 = –12? We will talk about powers of imaginary number momentarily

4. Powers of i

5. There is a pattern about the powers of i The powers of i more than 5 can be simplified to less than or equal to 4 if we divide the power by 4 and use the remainder to get simplified power. 8 2 Therefore, i 10 = i 2 = -1 For example:

6. Evaluate:

7. Perform the operations of the imaginary numbers

9. Perform the indicated operation: 1. 2. 3. 4. 5. i

10. Perform the indicated operation: 1. 2. 3. 4. 5. – 20 – 88 14i