指数関数の練習

e^x
\begin{equation}
e^x
\end{equation}

e^{\frac{x}{2}}
\begin{equation}
e^{\frac{x}{2}}
\end{equation}

e^{\displaystyle \frac{x}{2}}
\begin{equation}
e^{\displaystyle \frac{x}{2}}
\end{equation}

e^{\displaystyle \scriptsize \frac{x}{2}}
\begin{equation}
e^{\displaystyle \scriptsize \frac{x}{2}}
\end{equation}

e^{\raise{1ex} \hbox{$\displaystyle \scriptsize \frac{x}{2}$}}
\begin{equation}
e^{\raise{1ex} \hbox{$\displaystyle \scriptsize \frac{x}{2}$}}
\end{equation}

e^{\raise{1ex} \hbox{$\displaystyle \scriptsize -\frac{x^2}{2}$}}
\begin{equation}
e^{\raise{1ex} \hbox{$\displaystyle \scriptsize -\frac{x^2}{2}$}}
\end{equation}