$\sqrt{x^2}\;$ and $(\sqrt{x})^2$;
I mean, are they equal? because 
what about the following facts:
$\sqrt{x^2} = (x^2)^{1/2} = x^{(2)(\frac{1}{2})} = x^{\frac{2}{2}} = x \\
(\sqrt{x})^2 = x^{\frac{1}{2}(2)}= x^{(\frac{1}{2})(2)} = x^{\frac{2}{2}} = x$