Respuesta :
[tex] \dfrac{\sqrt[4]{6}}{\sqrt[5]{6}} = [/tex]
[tex] = \dfrac{ 6^{\frac{1}{4}} }{ 6^{\frac{1}{5}} } [/tex]
[tex] = 6^{\frac{1}{4} - \frac{1}{5}} [/tex]
[tex] = 6^{\frac{5}{20} - \frac{4}{20}} [/tex]
[tex] = 6^{\frac{1}{20}} [/tex]
[tex] = \sqrt[20]{6} [/tex]
[tex] = \dfrac{ 6^{\frac{1}{4}} }{ 6^{\frac{1}{5}} } [/tex]
[tex] = 6^{\frac{1}{4} - \frac{1}{5}} [/tex]
[tex] = 6^{\frac{5}{20} - \frac{4}{20}} [/tex]
[tex] = 6^{\frac{1}{20}} [/tex]
[tex] = \sqrt[20]{6} [/tex]