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*The hyperoperation after exponentiation is Tetration.
 
*The hyperoperation after exponentiation is Tetration.
 
*Tetration is called iterated exponentiation.
 
*Tetration is called iterated exponentiation.
*The notation <math>^n a</math>  means <math>a^a^a\cdots</math> the application of exponentiation <math> n-1</math> times.
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*The notation <math>^n a</math>  means <math>a^a^a^\dots</math> the application of exponentiation <math> n-1</math> times.
 
*Tetration is simply defined by:For any positive real  a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by:
 
*Tetration is simply defined by:For any positive real  a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by:
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