why is everything to the power of 0 1?
In: 3
Everything (I’ll use *n* to mean any normal number) to the power of 1 is *n*. *n* to the power of -1 is 1/*n*. Multiplying 2 exponents adds the number in them, so *n*^1 * *n*^-1 is the same as *n*^1-1 or *n*^0 which translates to *n* * 1/*n* = *n*/*n* = 1.
Why does it work? Largely because 1 is the crossover point between dividing and multiplying, which is what happens when you go from negative powers to positive powers. So the crossover point between the two will be related; negative and positive powers at 0, while dividing and multiplying numbers at 1.
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