Need help to simplify the expression involving powers $$\left(1-\frac{\sqrt{3}-i}{2}\right)^{24}$$
somehow this should be equal to :$$\left(2-\sqrt{3}\right)^{12}$$
but I can't see how...
Hint:

$$
\left( 1 - \dfrac{\sqrt{3} - i}{2} \right)^{24} = \left[\left( 1 - \dfrac{\sqrt{3} - i}{2} \right)^2\right]^{12}
$$
Hint: start by squaring $(1-\frac{\sqrt{3}-i}{2})$. Remember that $(a-b)^2 = a^2-2ab+b^2$, and that $i^2=-1$.