2. Let the 20 vertices of a regular 20-sided polygon inscribed in the unit circle in the complex plane correspond to the complex numbers $Z_{1}, Z_{2}, \cdots, Z_{20}$, respectively. Then the number of different points corresponding to the complex numbers $Z_{1}^{1995}, Z_{2}^{1995}, \cdots, Z_{20}^{1999}$ is
(A) 4 ;
(B) 5 ;
(C) 10 ;
(D) 20 .
2. (A)

Let $Z_{1}=\cos \theta+\mathrm{i} \sin \theta$, then
$$
Z_{k}=(\cos \theta+\mathrm{i} \sin \theta)\left(\cos \frac{2(k-1) \pi}{20}+\mathrm{i} \sin \frac{2(k-1) \pi}{20}\right), 1 \leqslant k \leqslant
$$
20 From $1995=20 \times 99+15$, we get
$$
\begin{aligned}
Z_{k}^{1995} & =(\cos 1995 \theta+\mathrm{i} \sin 1995 \theta)\left(\cos \frac{3 \pi}{2}+\mathrm{i} \sin \frac{3 \pi}{2}\right)^{k-1} \\
& =(\cos 1995 \theta+\mathrm{i} \sin 1995 \theta)(-i)^{k-1}, \quad k=1,2, \cdots, 20
\end{aligned}
$$

There are four different values, hence the answer is (A).