Question

How do you go from radical form to exponential form? And vice versa?

Answer 1

\[\sqrt[3]{5^{2}}\] For example, that put into exponential form?

Answer 2

\[\huge \sqrt[5]{x}=x^{\frac{1}{5}}\] for example

Answer 3

that would be \[\huge 5^{\frac{2}{3}}\]
power is the numerator, index is the denominator

Answer 4

Ah, okay. What about if I were given something like this: \[16^{\left(\begin{matrix}3 \\ 4\end{matrix}\right)}\]
And had to put it BACK into radical form? Would it be like this? \[\sqrt[4]{16}^{3}\]

And what do I do if the original radical doesnt follow that format AT ALL? For example, \[\sqrt[5]{32x (exponent 13)/ 243y^15}\]

Sorry, this is really messy. I cant figure out how to make that exponent and divide look right. I'm trying to put it into exponential; I hope you understand?

Answer 5

Tagging in @satellite73 in case you had more input. :)