$\frac{ {x}^{\frac{ 2 }{ 3 }} }{ {\left( {x}^{3} \right)}^{\frac{ 8 }{ 3 }} }$
Simplify the expression by multiplying exponents$\frac{ {x}^{\frac{ 2 }{ 3 }} }{ {x}^{8} }$
Simplify the expression$\frac{ 1 }{ {x}^{\frac{ 22 }{ 3 }} }$
Use ${a}^{\frac{ m }{ n }}=\sqrt[n]{{a}^{m}}$ to transform the expression$\frac{ 1 }{ \sqrt[3]{{x}^{22}} }$
Simplify the radical expression$\frac{ 1 }{ {x}^{7}\sqrt[3]{x} }$