In each of Problems 1 through 10, carry out the indicated calculation.

1. (3 − 4i)(6 + 2i)

2. i(6 − 2i) + |1 + i|

3. (2 + i)/(4 − 7i)

4. ((2 + i) − (3 − 4i))/(5 − i)(3 + i)

5. (17 − 6i)(−4 − 12i)

6. |3i/(−4 + 8i)|

7. i 3 − 4i 2 + 2

8. (3 + i)3

9. ((−6 + 2i)/(1 − 8i))2

10. (−3 − 8i)(2i)(4 − i)

In each of Problems 11 through 16, determine the magnitude and all of the arguments of z.

11. 3i

12. −2 + 2i

13. −3 + 2i

14. 8 + i

15. −4

16. 3 − 4i