Given
\[
y=\sqrt{x^{7}}-\frac{5}{x^{3}}
\]
Which of the following is equivalent to \(y\) ?
\begin{align}
\begin{array}{|l|l|}
\hline \text { A } & x^{14}-5 x^{-3} \\
\hline \text { B } & x^{\frac{7}{2}}+5 x^{-3} \\
\hline \text { C } & x^{\frac{7}{2}}-5 x^{-3} \\
\hline \text { D } & x^{\frac{7}{2}}-5 x^{\frac{1}{3}} \\
\hline
\end{array}
\end{align}