Turn the expression from radical form to exponential expression in fractional form. No need to evaluate just be out in simplest form

Question

asked Sep 25, 2023 112k views

1 Answer

DSM · Answer 1 · 2023-09-30T04:30:48+0000

To answer this question, we need to remember the next property of radicals:

$\sqrt[n]{a^m}=a^{(m)/(n)}$

In this case, we have that:

$\sqrt[3x]{5}$

And we can see that the exponent for 5 is m = 1. Therefore, we can rewrite the expression as follows:

$\begin{gathered} \sqrt[3x]{5}=5^{(1)/(3x)} \\ \end{gathered}$

In summary, therefore, we can say that the radical form to an exponential in fractional form is: