How does light intensity from a distant galaxy diminish according to the inverse square law?

Answer

Rapidly as the distance increases.

The inverse square law dictates that the intensity of radiation, such as light reaching a telescope mirror, decreases proportionally to the square of the distance separating the source and the observer. This means that for galaxies billions of light-years away, the amount of light energy, specifically the number of photons, reaching the telescope is minuscule, necessitating extremely long exposure times to gather sufficient signal for any detailed observation.

How does light intensity from a distant galaxy diminish according to the inverse square law?
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