Bradley Wright-Phillips put the hosts ahead in the 10th minute after good play from Nathan Eccleston but United equalised in the 27th minute when Ben Marshall's drive took a deflection on its way past Addicks keeper Rob Elliot.
Carlisle capitalised on loose passing and a frustrated home crowd to take the lead in the 62nd minute through Craig Curran when the home side were unable to clear a corner.
And the result was put beyond doubt by Rory Loy after Elliot had spilled Marshall`s shot with ten minutes remaining.
The result leaves new boss Powell level in his first reign as a manager, with four wins and four defeats, with the latter coming in consecutive fashion.
Charlton 1-3 Carlisle: Match Report - view commentary, squad, and statictics of the game as it happened.
Source: DSG