A few complex number problems

Hi

The following questions i am having trouble with:

1) Plot the set of points in the complex plane which satisfy $\displaystyle |z+1+j|=2$

2) Express the complex number $\displaystyle 2+2\sqrt{3}j$ in the form re^{j\theta} hence obtain the cartesian form of $\displaystyle (2+2\sqrt{3}j)^6$

This is what i have attempted:

I found out that $\displaystyle 2+2\sqrt{3}j = 4e^{\frac{\pi}{3}j}$

hence i make $\displaystyle (2+2\sqrt{3}j)^6 = (4e^{\frac{\pi}{3}j})^6$

what would i do next?

P.S