((\cos 30^o + \imath \sin 30^o) \cdot 2 \cdot (\cos 120^o + \imath \sin 120^o))^{2005} = 2^{2005} \cdot (\cos 150^o + \imath \sin 150^o)^{2005} =
2^{2005} \cdot (\cos {150 \cdot 2005}^o + \imath \sin {150 \cdot 2005}^o) = 2^{2005} \cdot (\cos {150 \cdot 2005}^o + \imath \sin {150 \cdot 2005}^o)
2^{2005} \cdot (\cos {150}^o + \imath \sin {150}^o) = 
2^{2005} (- \frac{\sqrt{3}}{2} + \frac{1}{2} \imath)