It depends:

• if it is connected to an ideal constant voltage source: lower load resistance will cause higher load power
• if connected to an ideal constant current source: higher load restance will cause more load power.

Often practical power sources can be treated like an ideal constant voltage source with a (rather low) internal series resistance. In that case most load power is caused by a load resistance that is equal to the the internal series restance of the power source.
This fact is called the Maximum Power Transfer Theorem.

It depends:

• if it is connected to an ideal constant voltage source: lower load resistance will cause higher load power
• if connected to an ideal constant current source: higher load restance will cause more load power.

Often practical power sources can be treated like an ideal constant voltage source with a (rather low) internal series resistance. In that case most load power is caused by a load resistance that is equal to the the internal series resistance of the power source.
This fact is called the Maximum Power Transfer Theorem.