The google calculator say that $0^0=1$. I'm confused. It's well-known $0^0$ is undefined.
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1Unfortunately, the selected answer in that duplicate question is wrong. There are plenty of reasons to define $0^0=1$. There are no reasons to define it to be other values. There can be reasons to leave it undefined, especially in computer calculations when dealing with computer floating points, because then $0.0$ is always an estimate, so you can get into trouble. – Thomas Andrews Jun 25 '15 at 20:01
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Some people like to say that $0^0$ is undefined, some people (including me) like to define $0^0=1$, because it's consistent with everything regarding powers with integer exponent. – egreg Jun 25 '15 at 20:06
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One good reason: So it's clear that $\sum_{n=0}^\infty c_nt^n$ means what we want it to mean when $t=0$. – David C. Ullrich Jun 25 '15 at 20:19