User blog:Nordin.hammadi/E powers of googol

E powers of googol are also done quite easy.

A googol = 1>100

E googol= E 1>100 = 1>100>100 = 1>(1>102)

is then a googol to the power of a googol.

A googolplex = 1>(1>100),so

E googolplex =

1>((1>100)>(1>100))=

1>(1>((1>97)~100)) is

a googolplex to the power of a googolplex.

A googolduoplex =

1>(1>(1>100))

E 1>(1>(1>100)) =

1>(1>((1>((9re97)~8~(9re2)))~(1>100))) is

a googolduoplex to the power of a googolduoplex.

It's also possible to calculate powers of 10 this way;

I call it the C power (complex extended owb power).

C 1>1 = 10^10^10....10 tens in the power tower....^10^10

C 1>2 = 100^........100 times 100 in the power tower..........

The formula for

C 1>a can be proven to be 1>(a>(a>a))

So this also is possible for googol,googolplex and googolduoplex and as far as you like.

C googol=

1>(100>(100>100))=

1>(100>(1>102))=

1>(1>((1>101)~2))

C googolplex =

1>((1>100)>((1>100)>(1>100)))=

1>((1>100)> (1>((1>97)~100)) )=

1>(1>((1>((1>98)~97))~100))

This constitutes the number of a

googolplex to the powertower of a googolplex googolplexes.

thus ggp ^ggp ^ ggp......(googolplex terms of googolplex)...^ggp^ggp.

I leave it open to calculate

C googolduoplx