Answer:
= -64
Step-by-step explanation:
You have the following complex number:
(1)
The Demoivres theorem stables the following:
(2)
In this case you have n=6
In order to use the theorem you first find r and θ, as follow:

Next, you replace these values into the equation (2) with n=6:
![z^6=(2)^6[cos(6*30\°)+isin(6*30\°)]\\\\z^6=64[-1+i0]=-64](https://tex.z-dn.net/?f=z%5E6%3D%282%29%5E6%5Bcos%286%2A30%5C%C2%B0%29%2Bisin%286%2A30%5C%C2%B0%29%5D%5C%5C%5C%5Cz%5E6%3D64%5B-1%2Bi0%5D%3D-64)
Then, the solution is -64