Common advice is to insert a \mathstrut, which is an invisible construct of zero width and vertical dimensions like a parenthesis. But that is not tall enough to do the trick here. You could insert a strut of your own making, i.e., a zero width rule of suitable height, into the denominator, but that is a bit error prone. So you could pick up a trick from an old answer of mine:
\documentclass{article}
\makeatletter
\newcommand{\raisemath}[1]{\mathpalette{\raisem@th{#1}}}
\newcommand{\raisem@th}[3]{\raisebox{#1}{$#2#3$}}
\makeatother
\begin{document}
\begin{equation}
I_D=\frac{I_{sc_n}+K_i\Delta T}{\exp\left(\frac{V_{oc_n}+K_v\Delta
T}{\raisemath{-1pt}{nN_sV_t}}\right)}
\end{equation}
\end{document}
(Incidentally, use \exp for the exponential function.)
\exp(never use math italic for multi-letter identifiers it is designed to separate the letters so it looks like e times x times p (for same reason use\mathrm{sc}and\mathrm{oc}) – David Carlisle Apr 28 '18 at 08:43