Zero locus of maximal ideals

Question

Let $A = k[x_{1}, . . . , x_{n}]$, where k is an algebraically closed field. If $M_{1}, . . . , M_{r}$ are maximal ideals of A, where $M_{i}\neq M_{j}$ if $i\neq j$, and $s_{1}, . . . , s_{r}$ are positive integers, prove that $V(M^{s1}_{1} ∩ · · · ∩ M^{sr}_{r})$ is the union of r distinct points of $A^{n}_{k}$ .