Please thoroughly explain how this is the correct answer. Thank you!

see below

Step-by-step explanation:

that is what you called nth Root

Just like the square root () is used two times in a multiplication to get the original value.

And the cube root () is used three times in a multiplication to get the original value.

The nth root is used n times in a multiplication to get the original value.

ex:

x⁵ = 13  >>>>    x = ⁵√13

x²⁰ = 13 >>>>    x = ²⁰√13