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Why are very few of the brightest stars that we see in the skies amongst the nearest stars? Show that a star of 10,000

Why are very few of the brightest stars that we see in the skies amongst the nearest stars? Show that a star of 10,000 times the luminosity of the sun is 1,000,000 times more observable than a star of solar luminosity. (The observ- ability of a star is related to the volume of space within which the star can be seen from Earth.)

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