I am confused about some exponent behavior. $(-2)^{7.6} = (-2)^{\frac{76}{10}} = ((-2)^{76})^{\frac{1}{10}} = ((-2)^{\frac{1}{10}})^{76}$
Is there something wrong in this logic? When I plug the different versions into Mathematica, I get complex number for the first two versions, and real numbers for the last two. And, the last two are opposite in sign. What am I missing?