Why is $a^0=1$ and not $0$?

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Since I learned exponentiation in School, me and my classmates had this one question stuck in our brains. Why is $a^0=1$ and not $0$. Wouldn't it make more sense if it equaled to $0$, since $a$ is multiplied by itself $0$ times, it should equal $0$. Can somebody please explain to me how and why this works?