[tex]\sqrt[3]{64x^6y^4z^3}[/tex]
Distributing the cubic root:
[tex]\sqrt[3]{64}\cdot\sqrt[3]{x^6}\cdot\sqrt[3]{y^4}\cdot\sqrt[3]{z^3}[/tex]
Rewriting the cubic roots:
[tex]\begin{gathered} 4\cdot x^{\frac{6}{3}}\cdot y^{\frac{4}{3}}\cdot z^{\frac{3}{3}}= \\ =4x^2y^{\frac{4}{3}}z^{} \end{gathered}[/tex]
