User blog:Nordin.hammadi/The C power

As i defined E 1>x = (1>x)^(1>x) = 1>(x>x)

I define the C power,C of Complex Extended Own Power,as

C 1>x = (((1>x)^(1>x))^(1>x))^(1>x)......10 times (1>x) in the power tower above base number(1>)......

From power math it can be derived that

C 1>x = (1>x) ^E (1>x)= 1>(x>(x>x)) because

from math we know (a^b)^c = a^(bc)

so in the power tower of C 100 = C 1>2 we get

100x100x100.....100times100 in the sum.....=100^100 = E 100

and in the power tower of C 1>x we get

(1>x)(1>x)(1>x)........(1>x)times..................= E 1>x

and thus C 1>x = (1>x)^(E 1>x)

and 1>x ^ ((1>x)^(1>x)) =

(1>x)^(1>(x>x))=

10 to the power of (x((1>(x>x)))=

10 to the power of x>(x>x) or

1>(x>(x>x))

This is the mathematical proof,in the next part on yhis subject i will explore the patterns

of C and E powers.