Thrust is a Force and Power is Force × Velocity.
Let's look at the application of those terms with respect to propulsion.
All aircraft are moved by thrust force.
why do we even talk about "power"?
It seems to make sense when the units of Power as Force × Velocity are rearranged to:
Power = Force × distance/time
Now we can say Power = Torque/time
Anything with a rotating mechanical output is most aptly described in this manner. The torque turns the wheel, the wheel transfers the thrust to the ground. Thrust is measured by:
(Torque/wheel radius)/time = propulsive Force/time
So why don't we say Thrust/time?
It seems this is a more proper comparative definition to Power output.
In reality this is what all engines generate.
In aviation, Torque turns propellers against their drag. The prop airfoil produces thrust (thrust/time).
A jet produces thrust without creating rotational motion, or does it?
a jet engine must create "power" to turn its compressor.
a fan jet must create "power" to turn its fan
So, power is Torque/time. Thrust is (more correctly) Force/time.
In all applications involving Power, the distance term will cancel out leaving thrust.