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\documentclass{article}
\begin{document}
$$\Phi(x) = \left( \sum_{Vertex\;v} c_v \Phi_v(x)
\right)^{\int_\Omega a \, dx}$$
$$\Phi(x) = \left( \sum_{Vertex\;v} c_v \Phi_v(x) +
\sum_{Edge\;e} \sum_{i} c_{e,i} \Phi_{e,i}(x)
\right)^{\int_\Omega a \, dx}$$
$$\Phi(x) = \left( \sum_{Vertex\;v} c_v \Phi_v(x) +
\sum_{Edge\;e} \sum_{i} c_{e,i} \Phi_{e,i}(x) +
\sum_{Face\;f} \sum_{i} c_{f,i} \Phi_{f,i}(x)
\right)$$
$$\Phi(x) = \left( \sum_{Vertex\;v} c_v \Phi_v(x) +
\sum_{Edge\;e} \sum_{i} c_{e,i} \Phi_{e,i}(x) +
\sum_{Face\;f} \sum_{i} c_{f,i} \Phi_{f,i}(x)
\right)^{\int_\Omega a \, dx}$$
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
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