Evaluating determinant

Question

Let $\{\alpha_{i}\}_{i=1}^{n}$ be distinct numbers. What is the determinant of the $n$ by $n$ matrix \begin{gather} \begin{pmatrix} \alpha_{1}^{n-1} & \alpha_{1}^{n-2} & \cdots & 1 \\ \alpha_{2}^{n-1} & \alpha_{2}^{n-2} & \cdots & 1 \\ \vdots & \vdots & \ddots & \vdots \\ \alpha_{n}^{n-1} & \alpha_{n}^{n-2} & \cdots & 1 \end{pmatrix} \end{gather} ?