To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
[tex] \sqrt[5]{10x/3x^3}
[/tex]
2. You can rewrite the expression as following:
[tex] (\sqrt[5]{10}) x^{1/5}/ (\sqrt[5]{3}) x^{3/5} [/tex]
3. Applying the exponetns properties, you can substract the exponents whose bases are equal. In this case, you need to substract the exponents of x:
[tex] \sqrt[5]{10}/ (\sqrt[5]{3})x^{2/5}
[/tex]
[tex] \sqrt[5]{10/3 x^{2}}[/tex]
Therefore, the answer is: [tex] \sqrt[5]{10/3x^{2} } [/tex]
