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A smaller star can appear brighter from Earth (apparent magnitude) if it is much closer.

The absolute magnitude (brightness compared side by side at fixed distance) can also be higher in a smaller star if it is much hotter and more massive. A smaller star can be much heavier (more dense) and hotter than a large star, especially the huge red giants nearing the end of their life (which have a very low density).

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Q: How could a smaller star have a greater magitude than a larger star?
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