Solve for: 4^2-((1)/(2))^2

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

Evaluate the power

$16-{\left( \frac{ 1 }{ 2 } \right)}^{2}$

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

$16-\frac{ 1 }{ 4 }$

Calculate the difference

$\begin{align*}&\frac{ 63 }{ 4 } \\&\begin{array} { l }15 \frac{ 3 }{ 4 },& 15.75\end{array}\end{align*}$