I want to balance this fraction \frac{2.5^{13.6}}{100} \sim 2700. Without any modifications, the numerator 2.5 goes too far left and the balance is with the numerator and exponent combined .
I tried approach given here using mathtools, but in this case the exponent goes over the sim sign. How can I achieve a balance between the numerator and denominator, with exponent appearing neatly (not over the \sim)?
MWE attached.
\documentclass{article}
\usepackage{amsmath}
\usepackage{mathtools}
\begin{document}
\begin{equation*}%
\frac{2.5^{13.6}}{100} \sim 2600
\end{equation*}
\begin{equation*}%
\frac{2.5\mathrlap{^{13.6}}}{100} \sim 2600
\end{equation*}
\end{document}


2.5^{13.6}, not2.5