YiffieMon:0.632

x^0.632 is an opposite of:

x^(1/e)*x  

or

the e root of x times x. 

x^(1/e)= x/(x^0.632...)

(x^0.632...)/x=x/(x^(1/e))

(x^(y))/x = x/(x^(2-(1/y)))

x/(x^(2-(1/y))) = (x^(y))/x

[math]\displaystyle{ x\sqrt[e]{x}= x^{\frac{1}{e}}x }[/math]

[math]\displaystyle{ \frac{x\sqrt[e]{x}}{x}= \frac{x}{x^{0.632}} }[/math]

[math]\displaystyle{ n= x^{0.731}, n\sqrt[e]{n}= x }[/math]