"if you used an external pre on say the mix input on a sound card " - Sounds like you mis-read the label and could be talking about a "mic" input. If that's the case, you would NOT want to use that input on your sound card.
Sound cards that are one piece and mount in a slot inside your computer are almost ALL too noisy to use with mics connected to their mic input. The main reason for this is that computers generate LOTS of electrical noise, and it's nearly impossible to keep that noise from getting into an audio signal that is as weak as an un-amplified mic signal.
So, the first thing to do to improve the noise level is to amplify the mic signal BEFORE it gets close to all that computer noise, and that's what a pre-amp ("pre") does. A typical pre raises the level of a mic signal by at least 40 dB, which is a voltage ratio of 100 to 1. This means that after going thru the pre, the mic signal is now 100 TIMES as strong as it was. This means that when the signal gets into the computer, it picks up roughly the same amount of noise, but since the signal you WANT is so much stronger, you don't hear anywhere near as much noise.
outboard pre's can be used with only a sound card if you have no mixer or really want to minimise the amount of circuitry the sound goes through so you get the cleanest possible sound.
If you want nearly as clean a sound but need the flexibility of being able to route things and hear what you're doing, then a mixer becomes necessary.
When using a mixer with a separate, outboard pre, as mentioned above you need to make sure the pre is connected into a LINE level input, NOT a MIC level input. This is because the pre has already boosted the signal by about 100 times, and if you take that already boosted signal and connect it to ANOTHER pre-amp, such as the ones in a mixer, you will cause it to distort due to 'way too high an input level.
So, if you're using an EXTERNAL pre-amp into a Behringer mixer or any mixer that also feeds its 1/4" inputs through the mixer's own INTERNAL pre-amp, you need to find a way to by-pass the INTERNAL preamp. This can sometimes be done by a mic/line switch if there is one, or by using a line input (check the schematic as mentioned earlier) - sometimes you can use a channel INSERT point as a line in, but you will probably need a slightly different cable or adapter, and may lose some functions on that channel when connected that way.
Read this again, slowly, and c'mon back with the other 142 questions it'll bring up... Steve