The first one is the third root of 5^2. The denominator represents the root in which you're taking, in this case the third root, and the numerator represents the exponent that will be underneath the radical with the integer
The second one is the square root of 5. Anytime you see a 2 as the denominator in an exponent you're just taking the square root
The third one is the fifth root of 3^2, as explained by the first one
The fourth one is the square root of 3^5, as explained with the second one
