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Why does a number raised to the zero = 1?
Is there an actual mathematical proof as to why a number raised to the 0th power equals one? Today in our physics class, someone said that she asked the math teacher, who said that it just does. The physics teacher couldn't explain it, and made a wild stab at it.
10^3 = 10*10*10
10^2 = 10*10
10^1 = 10*1
10^0 = 10*.1
It was a good effort, but it only works for ten. Any ideas?
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