Simplify cube root of 5 over fourth root of 5.

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}} \\\\\\ a^{-\frac{{ n}}{{ m}}} \implies \cfrac{1}{a^{\frac{{ n}}{{ m}}}} \implies \cfrac{1}{\sqrt[{ m}]{a^{ n}}}\qquad\qquad \cfrac{1}{\sqrt[{ m}]{a^{ n}}}= \cfrac{1}{a^{\frac{{ n}}{{ m}}}}\implies a^{-\frac{{ n}}{{ m}}} \\\\ -------------------------------[/tex]

[tex]\bf \cfrac{\sqrt[3]{5}}{\sqrt[4]{5}}\implies \cfrac{\sqrt[3]{5^1}}{\sqrt[4]{5^1}}\implies \cfrac{5^{\frac{1}{3}}}{5^{\frac{1}{4}}}\implies 5^{\frac{1}{3}}\cdot 5^{-\frac{1}{4}}\implies 5^{\frac{1}{3}-\frac{1}{4}}\implies 5^{\frac{4-3}{12}} \\\\\\ 5^{\frac{1}{12}}\implies \sqrt[12]{5^1}\implies \sqrt[12]{5}[/tex]