Answer:
The correct option is B.
Step-by-step explanation:
The given expression is
[tex]\sqrt[3]{x^5y}[/tex]
[tex]\sqrt[3]{x^5y}=(x^5y)^{\frac{1}{3}}[/tex] [tex][\because \sqrt[n]{x}=x^{\frac{1}{n}}][/tex]
[tex]\sqrt[3]{x^5y}=(x^5)^{\frac{1}{3}}y^{\frac{1}{3}}[/tex] [tex][\because (mn)^x=m^xn^x][/tex]
[tex]\sqrt[3]{x^5y}=x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex] [tex][\because (x^m)^n=x^{mn}][/tex]
Therefore option B is correct.
