Answer
$$2.0732 + 2.1684i$$
Work Step by Step
$$\eqalign{
& \frac{{30\left( {\cos \frac{{2\pi }}{5} + i\sin \frac{{2\pi }}{5}} \right)}}{{10\left( {\cos \frac{\pi }{7} + i\sin \frac{\pi }{7}} \right)}} \cr
& {\text{Use the quotient theorem}} \cr
& = \frac{{30}}{{10}}\left[ {\cos \left( {\frac{{2\pi }}{5} - \frac{\pi }{7}} \right) + i\sin \left( {\frac{{2\pi }}{5} - \frac{\pi }{7}} \right)} \right] \cr
& = 3\left[ {\cos \left( {\frac{{9\pi }}{{35}}} \right) + i\sin \left( {\frac{{9\pi }}{{35}}} \right)} \right] \cr
& {\text{Use a calculator }}\left( {{\text{radian mode}}} \right) \cr
& \approx 2.0732 + 2.1684i \cr} $$
