Question

How do you simplify `(root5(47))^5`?

Answer 1

47

Explanation:

Just how if you square a square root, you get the radicand, if you take the fifth root and raise it to the fifth power, you get the radicand, which is 47 in this case.

`root(5)47= 47^(1/5)`

`=> (47^(1/5))^5`

Applying, `color(red)((a^m)^n= a^(mn)`

`=> 47^(1/5xx5) =47`