Simplifying Complex Numbers

1.    Use the powers of i to simplify   i⁵.

     -1

  

     i

2. Use the powers of i to simplify   i²⁹.

  -1

  

    i

3. Use the powers of i to simplify i³².

  i

  1

  -1

4. Use the powers of i to simplify i²⁴.

 i

 1

 -1

5. Use the powers of i to simplify i ¹⁵.

 -i

 1

 -1

6. Use the powers of i to simplify i ³.

 -i

 1

 -1

7. Use the powers of i to simplify i ²¹.

  i

  -i

 

8. Use the powers of i to simplify i ¹¹.

-1

  i

 -

9. Use the powers of i to simplify i ¹².

 1

 -1

 i

10. Use the powers of i to simplify i ⁹³⁰.

 1

 -1

  -i

11. Use the powers of i to simplify i ¹⁰⁰.

 1

 -1

 -i

12. Use the powers of i to simplify i ¹²².

 -1

 

    1