Answer: [tex]\sqrt[3]{6n}[/tex]
Step-by-step explanation:
We have the following expression:
[tex](\sqrt{6n})^{\frac{2}{3}}[/tex]
Which can be written as follows:
[tex]((6n)^{\frac{1}{2}})^{\frac{2}{3}}[/tex]
Multiplying the exponents:
[tex](6n)^{\frac{1}{3}}[/tex]
Writing in radical form we finally have the result:
[tex]\sqrt[3]{6n}[/tex]
