Explanation
First of all, it's important to remember the relation between radicals and exponents:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]
So if we have the following equation:
[tex]x^3=729[/tex]
We can solve it in two ways. On the one hand we can apply a cubic root at both sides:
[tex]\begin{gathered} \sqrt[3]{x^3}=\sqrt[3]{729} \\ x=\sqrt[3]{729} \end{gathered}[/tex]
On the other hand, we can raised both sides to 1/3 which is the same as applying a cubic root:
[tex]\begin{gathered} (x^3)^{\frac{1}{3}}=729^{\frac{1}{3}} \\ x=729^{\frac{1}{3}} \end{gathered}[/tex]Answer
As we saw, both Maria and Jordan are correct, they just used different notations.
