Friday, August 16, 2019

exponentiation - Why is X raised to the power of 0 = 1?


So as the topic states, why is 5^0 = 1 and not 5 or 0? Is it only because the other exponential laws wouldn't work if it was not the case?


Answer



$5^0$ is the product of zero $5$s, which is the empty product, and there are plenty of reasons to define that as $1$.


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