*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 '''a{3}b''' 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).