Answer:
[tex]x^{\frac{7}{3} }[/tex]
Step-by-step explanation:
The given expression is
[tex]\sqrt[3]{x^{7} }[/tex]
There's a exponent which relates fractional exponents and roots, that is
[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]
So, if we apply this property, the results would be
[tex]\sqrt[3]{x^{7} }=x^{\frac{7}{3} }[/tex]
Therefore, the right answer is the third choice [tex]x^{\frac{7}{3} }[/tex]
