What’s the relationship between gain (dB) and power (watts)?


Is there one?  My new used 300+ epic Bryston amp has a gain switch on the back toggling between 23 and 29 dB of gain.  
redwoodaudio
Post removed 
The gain switch is a nice feature on the power amp, 23dB of gain can give most active preamp better range of volume control, but passive preamp might need 29dB gain to drive the amp to full power.
Why not call Bryston to get the answer?
Post removed 
Very simplified electrical info following:
One can think of voltage as electrical pressure (or potential force), resistance somewhat like a valve that restricts flow, and amperage as the physical amount of electron flow, for the sake of a simplified analogy.

Electrical work (measured in Watts) can be calculated many ways, a simple one is the amount of electrical pressure (Volts) multiplied by the amount of electron flow (Amperes).

As nitroxpro states, that it is an exotic alternating current, I would say for simplification that it also meets an exotic resistance (impedance curve).

Amplification can be somewhat described as if you had a small electrical signal controlling a valve on a larger electrical signal, as the smaller signal swings from positive to negative, in higher and lower amplitude from zero, it opens and closes the valve proportionally, positive and negative.

The amount higher than the source signal the amplifier potential has, could be considered gain.
Now it takes a certain amount of power to meter the valve (like in a tap), there is the impedance and the voltage of the AC coming in, if it's too little it won't open the amplifiers (tap so to speak) to realise it's maximum output.

The maximum output potential of the second amplified signal can be considered it's available working power.
Even if you hold the tap wide open, it can't possibly feed more power than is available, than the potential electrical pressure the amplifier can produce, through that valve.

I say there is exotic resistance because the components of the crossovers, the windings on the drivers are reactive to different frequencies, this reactive quality can be measured as impedance curve.

https://www.audioholics.com/loudspeaker-design/understanding-impedance-electrical-phase/page-2