Answer
$\dfrac{14\sqrt{x}}{x^3}$
Work Step by Step
Using the properties of radicals, the given expression, $
\dfrac{14}{\sqrt{x^5}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{14}{\sqrt{x^5}}\cdot\dfrac{\sqrt{x}}{\sqrt{x}}
\\\\=
\dfrac{14\sqrt{x}}{\sqrt{x^6}}
\\\\=
\dfrac{14\sqrt{x}}{(\sqrt{x^3})^2}
\\\\=
\dfrac{14\sqrt{x}}{x^3}
.\end{array}
Note that all variables are assumed to represent positive real numbers.
