just be careful with ratings is the main thing. you asked, how do you power a 1000watt sub. you need to know if that rating is the RMS or PEAK rating the sub can handle. some companies confuse consumers by advertising 1000watt capable subs, when its really 200watts RMS (the continuous power) and 1000watts PEAK (the amount of power it can handle if the wattage spiked for a couple seconds).
generally, speakers are 4 ohms. subs come in too many forms.
generalization is hard, if you have specifics, its easier to answer (and i bet you will understand better that way).
example. my subwoofer has an RMS rating of 1000watts and peak of 2000watts. its a dual 4 ohm voice coil sub, so it has two 4 ohm coils. i can wire it in parallel, which would be the amps + to voice coil #1 + to voice coil #2
+ and the amps - to voice coil #1 - to voice coil #2 -. that would decrease the impedance and yeild a 2 ohm load from the amp.
wiring it in series, amps + to voice coil #1 +, then voice coil #1 - to voice coil #2 +, then voice coil #2 - to amps -, will increase the impedance and yeild a 8 ohm load from the amp.
knowing that lets you know what kind of amp you should get. since its hard to find amps that make decent power at 8 ohms, i would look for an amp that made the power i need (roughly 1000watts RMS) at a 2 ohm load. my amp makes 800watts at 2 ohms, good enough.
if you thought that was confusing, try adding another sub to the equation