Solve for: (sqrt(8)^2)^{-3}

Expression: ${\left( {\sqrt{ 8 }}^{2} \right)}^{-3}$

Reduce the index of the radical and exponent with $2$

${8}^{-3}$

Express with a positive exponent using ${a}^{-n}=\frac{ 1 }{ {a}^{n} }$

$\frac{ 1 }{ {8}^{3} }$

Evaluate the power

$\begin{align*}&\frac{ 1 }{ 512 } \\&\begin{array} { l }\approx0.00195312,& {2}^{-9}\end{array}\end{align*}$