Changes

*Pentation is indicating the fifth hyper operator.

*Pentation is indicating the fifth hyper operator.

*The most common notation for  pentate is used by Knuth's up-arrow notation as <math>a \uarr \uarr \uarr b </math> or <math>a\uarr^3 b</math> or a^^^b .

*The most common notation for  pentate is used by Knuth's up-arrow notation as <math>a \uarr \uarr \uarr b </math> or <math>a\uarr^3 b</math> or a^^^b .

*It can also be notated <math>a{3}b</math> in Bowers operator notation.

*It can also be notated <math>a{{3}}b</math> in Bowers operator notation.

*Normally notation can be continued for <math>a^b</math> for exponents and <math>^b a</math> for teteration and a(*)b for pentation.

*Normally notation can be continued for <math>a^b</math> for exponents and <math>^b a</math> for teteration and a(*)b for pentation.

*Pentation has the following properties:a^^(a^^^b) = a^^^(b+1), and (a^^^b)^^^c ~< a^^^(b+c).

*Pentation has the following properties:a^^(a^^^b) = a^^^(b+1), and (a^^^b)^^^c ~< a^^^(b+c).

*Some examples of Pentation are given below:

*Some examples of Pentation are given below:

#2^^^1 = 2^^(2^^0) = 2^^1 = 2.

#2^^^1 = 2^^(2^^0) = 2^^1 = 2.

#2^^^3 = 2^^2^^2 = 2^^4 = 2^2^2^2 = 2^2^4 = 2^16 = 65536  

#2^^^3 = 2^^2^^2 = 2^^4 = 2^2^2^2 = 2^2^4 = 2^16 = 65536

==Examples==

==Examples==