Convert \({x}^{\frac{1}{2}}\) to square root.
\[\frac{16\sqrt{x}}{8{x}^{\frac{5}{2}}}\]
Take out the constants.
\[\frac{16}{8}\times \frac{\sqrt{x}}{{x}^{\frac{5}{2}}}\]
Simplify \(\frac{16}{8}\) to \(2\).
\[2\times \frac{\sqrt{x}}{{x}^{\frac{5}{2}}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[2\sqrt[2}-\frac{5}{2]{x}\]
Simplify \(\frac{1}{2}-\frac{5}{2}\) to \(-2\).
\[2{x}^{-2}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[2\times \frac{1}{{x}^{2}}\]
Simplify.
\[\frac{2}{{x}^{2}}\]
2/x^2
