User blog:O0112111/Is w^2 a fixed poit of w+a=a?

e_0=w^e_0 since e_0=w^^w and w^w^^w= w^^(1+w)=w^^w

therefore since w^2 =w*w =w+w+w+w+... w+w^2=w*(1+w)

furthermore w^w = w*w^w = w^(1+w) if i did anything wrong please tell me