Question 1181459
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{{{z = 2(cos(pi/3)+i*sin(pi/3)) = 2(cis(pi/3)))}}}<br>
The modulus ("magnitude") is 2; the angle is pi/3.<br>
DeMoivre's Theorem says to raise the complex number to the n-th power you raise the modulus to the n-th power and multiply the angle by n.<br>
You can do the simple calculations to find the answer to your problem.<br>
Here are a couple of similar examples:<br>
{{{(2(cis(pi/4)))^4 = (2^4)(cis(4*(pi/4))) = 16(cis(pi))}}}<br>
{{{(1(cis(pi/12)))^8 = (1^8)(cis(8*(pi/12))) = cis(2pi/3)}}}<br>