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Probably a nice simple way to explain it (not the most scientific, but plain):
Because 1 single image will show signal noise. By stacking many images, the noise is dispersed between all the images and blended out.
And because there are many images, more detail can be gained in the different images. 1 image may see certain detail in a globule inside a nebula for example, but not see another object within it. Whereas, with many images, you are garanteed to get lots of different perspectives in the images, hence collecting it all (well, most of it) when stacked together.
Others may explain it in a more detailed way, but that's a quick simple explanation.
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