2. Square roots of numbers are called numbers. Unit Imaginary Number i is a number whose square is -1. That is, In other words,. negative imaginary

3. a. d. b. e. c. f. d. g. Pattern?

4. So, to calculate any high power of i, you can convert it to a lower power by taking the closest multiple of 4 that's no bigger than the exponent and subtracting this multiple from the exponent. Example:

5. 2. 3. 4.

6. For every positive real number r,

7. 5. 6. 7.

8. 8. 9. 10.

9. 11. 12.

10. Remember, i is still a square root. So, we cannot have i left in the and we must rationalize! denominator

11. 13. 14.

12. 15. 16.