It’s just a continuation of the pattern exponents make
2^3 is 2x2x2
2^2 is 2×2, or you could say (2x2x2)/2
2^1 is 2, or (2×2)/2
2^0 is 1, or (2)/2
then going further
2^-1 is 0.5, or (1)/2
2^-2 is 0.25 or (0.5)/2
Basically, it just makes things more consistent and workable when you extend exponents past what they are intuitively representing.
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