9514 1404 393
Answer:
[tex]{n^\frac{4}{5}[/tex]
Step-by-step explanation:
The expression you show evaluates to (5/n)(4) = 20/n. Since you're referring to rational exponents, we assume you want to rewrite ...
[tex]\sqrt[5]{n^4}[/tex]
A root index is the same as a fractional exponent with that index in the denominator. Then this expression is rewritten as ...
[tex]\sqrt[5]{n^4}=(n^4)^{\frac{1}{5}}=\boxed{n^{\frac{4}{5}}}[/tex]