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Proposition: Exponential Function of General Base With Integer Exponents
Let \(n\in\mathbb Z\) be an integer. Then the exponential function of general base \(a > 0\) is identical with the n-th power function, formally
\[\exp_a(n)=a^n\]
for all positive real numbers \(a > 0\) and all integers \(n\in\mathbb Z\).
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References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983