Here is an example:
\documentclass{scrartcl}
\usepackage[quotient-mode = fraction]{siunitx}
\begin{document}
\[\SI{1 / 2500 \pi ^ 2}{\micro \farad}\]
\end{document}
It produces:
siunitx
error: "invalid-token-in-number"
Thank you for your help in advance!
siunitx
expects a number, since it uses a parsing engine. Thus you can't give it stuff it would have to evaluate first. I don't know if there is a way to turn it off, but here you'd probably fare best to git for\[ {1 / 2500 \pi ^ 2}~\si{\micro \farad} \]