The Exponent Zero

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). The Exponent Zero

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The Exponent Zero

What should $a^0$ be? Multiplying it by $a$ gives

\

by property (1) of exponents. Solving $a^0 \ for $a^0$ then gives

\

Again, we must have $a>0$ for this to make sense.

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