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*Tetration is called iterated exponentiation.
*Tetration is called iterated exponentiation.
*The notation <math>^n{a}</math> means <math> a^{a^{a}}</math> the application of exponentiation <math> n-1</math> times.
*The notation <math>^n{a}</math> means <math> a^{a^{a}}</math> the application of exponentiation <math> n-1</math> times.
*For any positive real a>0 and non-negative integer <math>n\ge 0</math> we define <math>^n a</math>by:
*For any positive real a>0 and non-negative integer <math>n\ge 0</math> we define <math>^n{a}</math>by:
<math>^n{a} =
<math>^n{a} =
\begin{cases}
\begin{cases}