Verified answer

[tex]\displaystyle\bf\\\frac{x^{-\frac{1}{3} } x^{\frac{5}{6} } }{x^{\frac{7}{12} } } =\frac{x^{-\frac{1}{3} +\frac{5}{6} } }{x^{\frac{7}{12} } } =\frac{x^{-\frac{2}{6} +\frac{5}{6} } }{x^{\frac{7}{12} } } =\frac{x^{\frac{3}{6} } }{x^{\frac{7}{12} } } =\frac{x^{\frac{6}{12} } }{x^{\frac{7}{12} } } =x^{\frac{6}{12} -\frac{7}{12} } =\\\\\\=x^{-\frac{1}{12} } =\frac{1}{x^{\frac{1}{12} } }[/tex]