The more money you have, the more you have of this kind of power mediated by economy. You can, in particular, use this power to have politicians do work for you (many ways of doing this are perfectly legal). Conversely, political power - the kind mediated by legal systems or explicit threats of violence - is directly convertible to money.

(There's also a special variant of the latter - power wielded by organized religions. The power to browbeat others into doing almost any arbitrary work. Of course, that one too is trivially convertible to both money and political power, and vice versa. That's why fully separating business, church and state is fundamentally impossible. They're different facets of the same thing. An Unholy Trinity.)