The position $x$ of a particle at time $t$ is given by $x=\large\frac{v_0}{a} $$(1-e^{-at})$ where $v_0$ is constant and $a >0$ find the dimensions of $v_0$ and $a$

Question

\[(a)\;M^0LT^{-1}\;and\;T^{-1} \quad (b)\;M^0LT^0\;and \;T^{-1}\quad (c)\;M^0LT^{-1}\;and\;LT^{-2} \quad (d)\;M^0LT^{-1}\;and\;T\]