[Tex/LaTex] Writing two partial differential equations in LaTeX

Question

Do you know how is it possible to write this equation in LaTeX?
I tried with this type, but it seems that this is not the correct version of writing.

\begin{equation}

$$K_ox=\frac{d^(2/3)_o}{n_x} \frac{1}{[\frac{\partial h_o}{\partial s}]^2}$$

\end{equation}

Answer 1

Your main error has been addressed in comments. For the rest see my MWE:

% arara: pdflatex

\documentclass{article}
\usepackage{mathtools}

\begin{document}
\begin{equation}    
    K_{ox}=\frac{d^{2/3}_o}{n_x} \frac{1}{[\partial h_o/\partial s]^{1/2}}  
\end{equation}
\begin{equation}    
    K_{ox}=\frac{\sqrt[3]{d^2_o}}{n_x} \frac{1}{\sqrt{\partial h_o/\partial s}} 
\end{equation}    
or $\sqrt{\frac{\partial s}{\partial h_0}}$ or $\dfrac{1}{\bigl(\frac{\partial h_o}{\partial s}\bigr)^{0.5}}$
\end{document}