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

Answer:
see below
Step-by-step explanation:
that is what you called nth Root
Just like the square root ([tex]\sqrt{13}[/tex]) is used two times in a multiplication to get the original value.
And the cube root ([tex]\sqrt[3]{13}[/tex]) 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