Answer:
1
Step-by-step explanation:
= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]
= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]
= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]
apply the exponential rule:
([tex]-\sqrt{3}-i[/tex])¹²
= --------------
2¹²
note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096
= 4096
4096
= 1
