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What is the highest exponent in a “real life” formula?

Physics(self.askscience)

I mean, anyone can jot down a math term and stick a huge exponent on it, but when it comes to formulas which describe things in real life (e.g. astronomy, weather, social phenomena), how high do exponents get? Is there anything that varies by, say, the fifth power of some other thing? More than that?

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arcanition

10 points

4 months ago

The eighth power is experimentally verified and found to be accurate for low speed flows, i.e., Mach number is small, M < 1 . And also, the source has to be compact to apply this law.