Answer
$$0 + i$$
Work Step by Step
$$\eqalign{
& \frac{{6\left( {\cos 120^\circ + i\sin 120^\circ } \right)}}{{2\left( {\cos 30^\circ + i\sin 30^\circ } \right)}} \cr
& = \frac{6}{2}\left( {\cos \left( {120^\circ - 30^\circ } \right) + i\sin \left( {120^\circ - 30^\circ } \right)} \right) \cr
& = 3\left( {\cos \left( {90^\circ } \right) + i\sin \left( {90^\circ } \right)} \right) \cr
& = 3\left( {0 + i\left( 1 \right)} \right) \cr
& = 0 + i \cr} $$
