What type of gauge wire?

What would be the best gauge for wiring up my speakers and sub? I have the infinity kappa perfect 6.1 components @ 100w rms. For the Subs i have the Xtant x1244 @ 500w rms. Can anyone tell me what would be the best wire gauges for performance and what exactly is necessary? Does anyone know the ranges of watts should each gauges of wire? Im pretty new. thanks

You should know this about wires in your car audio system:  the simple Ohm's law formula that says Volts X Amperes = Watts.  Better known as P = I X E.  Which means the more voltage you have the less amps are needed to produce power.  A large wire is necessary to get power for the amp from the car's 12 volt system, because the amperage can get high to make up for the small amount of voltage available.  But the amplifier's job is to make more voltage.  With more volts, the amperes are less to get the Power in watts (P=I*E).  So that's why speaker wires can be smaller than the power and ground wires that feed the amplifier.  Amperes (or amps) is the name for current, and that's what flows through the wires.

High voltage/low current = small wire.   Low voltage/high current = large wire.

16 gauge for any speaker is all you'll ever need, especially in short runs where resistance is not much of a factor.  If anything, use the larger wire in the longest runs, like to the fronts, where the length of the wire would start to play a role in its ability to transfer the current.  But oftentimes, people will use a large wire in a short run from the amplifier to the sub...just for looks.  It never hurts to do that, it's just not necessary.

See also https://www.the12volt.com/info/recwirsz.asp