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how to type the fraction 3/2 with different height in Latex as show in the picute

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You can do that with the nicefrac package:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[utopia]{mathdesign} %
\usepackage{mathtools}
\usepackage{nicefrac}

\begin{document}

\[ \mathcal O(h^{\nicefrac32} ) \]%

\end{document} 

enter image description here

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