What's the word for when someone uses the power of their title or designation to get some work done or extract some information? I know there's a very specific word for this, and it's not exploit or leverage.
To boss about/around, comes close to what you are looking for:
to tell someone what to do all the time:
- I wish he'd stop bossing me around/about.
Consider to to throw one's weight around, which implies bullying behavior based upon the person's real or perceived status.
Senator Phogbound brought the Contaminated Pork Museum to his hometown by throwing his weight around in the Office of Public Monuments and Useless Facilities.
Impose seems like a fitting word for the situation described. The word implies forcing upon (the origin indicates "laying on a burden"), which fits the authority/power characteristic.
to lay on or set as something to be borne, endured, obeyed, fulfilled, paid, etc.
: to impose taxes.
to put or set by or as if by authority
:to impose one's personal preference on others.
to obtrude or thrust (oneself, one's company, etc.) upon others.