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## Homework Statement

What would have caused humans to come up with fractional exponent notations?

## Homework Equations

## The Attempt at a Solution

I understand that it makes sense to use the exponent notation when we have to multiply the same number a number of times. For example, 10^8 is the short form for writing 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10.

But, I am not able to imagine a scenario where a human ancestor had to use this notation: 10^0.8. Is there an intuitive way to understand this?

Thanks.