how does the magnetic force exerted by a magnet change as the distance between two magnets increases

Question

loser66 · Answer

increase.
Since$$ F = IBl$$

anonymous · Answer

That's the equation for the force on a wire in a magnetic field.

The force between two magnets will decrease as the magnets are moved away from one another. Magnet's are dipoles, you can never find a +magnetic charge or a -magnetic charge by itself. If you are familiar at all with Maxwell's equations, this is summarized by:
$$\nabla \cdot B = 0$$

The fields from dipoles "fall off" as:
$$Field \propto \frac{1}{r^3}$$

(Contrast this to how an electric field from a point source falls off with distance as 1/r^2)