Consider the complex number
z
given in the table below, and carry out the numbered instructions: (1) Rewrite
z
in polar form (angles in radians). (2) Determine
z^(2),z^(3)
, and
z^(4)
in both rectangular and polar forms,
r[cos(0)+isin(0)]
, (angles in radians). \table[[,Rectangular Form,],[
z=
,
(\sqrt(3))/(2)+(3)/(2)i
,],[
z^(2)=
,,],[
z^(3)=
,,],[
z^(4)=
,,]]