Work is the energy needed to apply a force to move an object a particular distance, where force is parallel to the displacement. Power is the rate at which that work is done.
Explanation:
Some possible units for each
Work $$=F.d=N.m=J=\dfrac{kgm^{2}}{s^{2}}$$
Power $$=F.\dfrac{d}{t}=F.v=\dfrac{N.m}{s}=W=\dfrac{J}{s}=\dfrac{kgm^{2}}{s^{3}}$$