Evaluate: ((x^{\frac{1)/(3)})^2}{(x^3)^{(8)/(3)}}

Expression: $\frac{ {\left( {x}^{\frac{ 1 }{ 3 }} \right)}^{2} }{ {\left( {x}^{3} \right)}^{\frac{ 8 }{ 3 }} }$

Simplify the expression by multiplying exponents

$\frac{ {x}^{\frac{ 2 }{ 3 }} }{ {\left( {x}^{3} \right)}^{\frac{ 8 }{ 3 }} }$

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

$\frac{ 1 }{ {x}^{7}\sqrt[3]{x} }$