Arduino board and Mosfet

I wonder how to go about powering a powerMosfet via the arduino board with the arduino microprocessor on it?

I know that we can connect LED’s and so fourth onto the arduino board. But that Mosfet is on another board. Which uses more power then the arduino board. How to connect that Mosfet circuit board to the arduino board to have the micro controller power it.

Any idea how to do that?

Thanks for helping