Evaluate: (((2 * 2^2)^{-1})/(2^{-1)})^2

Expression: ${\left( \frac{ {\left( 2 \times {2}^{2} \right)}^{-1} }{ {2}^{-1} } \right)}^{2}$

Calculate the product

${\left( \frac{ {\left( {2}^{3} \right)}^{-1} }{ {2}^{-1} } \right)}^{2}$

Simplify the expression by multiplying exponents

${\left( \frac{ {2}^{-3} }{ {2}^{-1} } \right)}^{2}$

Simplify the expression

${\left( \frac{ 1 }{ {2}^{2} } \right)}^{2}$

Evaluate the power

${\left( \frac{ 1 }{ 4 } \right)}^{2}$

To raise a fraction to a power, raise the numerator and denominator to that power

$\begin{align*}&\frac{ 1 }{ 16 } \\&\begin{array} { l }0.0625,& {2}^{-4}\end{array}\end{align*}$