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Proposition: Exponential Function of General Base With Natural Exponents
Let \(n\ge 0\) be a natural number. Then the exponential function of general base \(a > 0\) is identical with the nth power function, formally
\[\exp_a(n)=a^n\]
for all positive real numbers \(a > 0\) and all natural numbers \(n\ge 0\).
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983