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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)=`

,,]]