Question

Hey, I need help with this question if anyone could just help me real quick?

Answer 1

You are Right the answer is

`5^{(1)/(12)}`

Explanation:

We Know Identity

`\sqrt[a]{b} =(b)^{(1)/(a) }\\ \\and\\\\(x^(a) )/(x^(b))=x^((a-b))`

Now by applying above property we get

`\frac{\sqrt[3]{5} }{\sqrt[4]{5} } =\frac{5^{(1)/(3) } }{5^{(1)/(4) }} }\\\\\frac{\sqrt[3]{5} }{\sqrt[4]{5} } =5^{((1)/(3)-(1)/(4))}\\\\\frac{\sqrt[3]{5} }{\sqrt[4]{5} } =5^{(1)/(12) }`