Question

Which of the following is equivalent to (5)^7/3

Answer 1

Last choice is your answer

(5)^7/3
= cube root 5^7

Answer 2

The answer is $\sqrt[3]{ 5^{7} }$

The reason we get this answer is because when you are converting from exponential form, to radical form you always place the numerator as our constant's exponent in the radical ( $5^{7}$ is called the radicand because it is located in the radical) and the denominator in front of the radical, where it would be called the index. 

Here's what a formula would look like: $( \sqrt[n]{x} ) ^{q}=x^{ \frac{p}{q} }$

Thank you for your question! I hope this helped! Have an amazing day and feel free to let me know if I can help you further! :D