Answer:
You are Right the answer is
[tex]5^{\frac{1}{12}}[/tex]
Step-by-step explanation:
We Know Identity
[tex]\sqrt[a]{b} =(b)^{\frac{1}{a} }\\ \\and\\\\\frac{x^{a} }{x^{b}}=x^{(a-b)}[/tex]
Now by applying above property we get
[tex]\frac{\sqrt[3]{5} }{\sqrt[4]{5} } =\frac{5^{\frac{1}{3} } }{5^{\frac{1}{4} }} }\\\\\frac{\sqrt[3]{5} }{\sqrt[4]{5} } =5^{(\frac{1}{3}-\frac{1}{4})}\\\\\frac{\sqrt[3]{5} }{\sqrt[4]{5} } =5^{\frac{1}{12} }[/tex]
