Complex Numbers, EXT2 N1 2021 HSC 11a The complex numbers `z = 2e^{i pi/2}` and `w = 6e^{i pi/6}` are given. Find the value of `zw` , giving the answer in the for `re^{i theta}`. (2 marks) Show Answers Only `12 e^{i 2pi/3}` Show Worked Solution `zw` `= 2e^{i pi/2} * 6e^{i pi/6}` `= 12 e^{i pi/2 + i pi/6}` `= 12 e^{i (2pi)/3}`