produce fractions when using pandoc to go from latex to html

fractions.latex

\documentclass{article}

\begin{document}
\begin{tabular}[]{ r r r r r r r r }
to the power & $^{^-1}$ & $^{^-2}$ & $^{^-3}$ & $^{^-4}$ & $^{^-5}$ & $^{^-6}$ & \ldots{}\\[.5em]
2 & $\frac{1}{2}$ & $\frac{1}{4}$ & $\frac{1}{8}$ & $\frac{1}{16}$ & $\frac{1}{32}$ & $\frac{1}{64}$ & \ldots{}\\[1em]
3 & $\frac{1}{3}$ & $\frac{1}{9}$ & $\frac{1}{27}$ & $\frac{1}{81}$ & $\frac{1}{243}$ & $\frac{1}{729}$ &\\[1ex]
\ldots{} & & & & & &\\[2ex]
10 & $\frac{1}{10}$ & $\frac{1}{100}$ & $\frac{1}{1000}$ & \ldots{} & & &\\
\end{tabular}

\begin{verbatim}
    pandoc -s -t html5 -f latex -o fractions.html fractions.latex

    A simple minded transformation of pandoc's html output like so:

    sed s/$\\frac{/^<sup^>/  fractions.html > tmp.html
    sed s#}{#^</sup^>/^<sub^>#  tmp.html > fractions.html
    sed s#}\$#^</sub^>#  fractions.html > tmp.html
    mv tmp.html fractions.html

    is an acceptable result?
\end{verbatim}

\end{document}