Some standard spacing in math mode include \quad or \qquad but using \hspace{<length>} is possible:

\documentclass[letterpaper]{article}
\usepackage{mleftright}
\usepackage{amsmath}
\begin{document}
\[
v_{i}=\frac{1}{n}\sum_{j=1}^{n}\mleft(\mu_{ij} \mright)^{m}x_{j}\quad \text{where}\hspace{2em} n_{i}=\sum_{j=1}^{n}\mleft(\mu_{ij}\mright)^{m}
\]
\[
v_{i}=\frac{1}{n}\sum_{j=1}^{n}\left(\mu_{ij} \right)^{m}x_{j}\quad \text{where}\hspace{2em} n_{i}=\sum_{j=1}^{n}\left(\mu_{ij}\right)^{m}
\]
\end{document}
The MWE above illustrates the effects of the use of \left and \right. For that, you can consider using the mleftright package by Heiko Oberdiek:
The package defines variants \mleft and \mright of \left and
\right, that make the delimiters act as \mathopen and \mathclose.
These commands address spacing difficulties in subformulas.
Read Spacing around \left and \right for an interesting discussion about this.
\quador\qquad– azetina Dec 03 '13 at 20:30\hspacemacro takes an argument:\hspace{<length>}. For example:\hspace{.5em}or\hspace{2cm}. Also, you shouldn't use text in math-mode. After loading theamsmath/amstextpackage, you can use\text{ where }. – Qrrbrbirlbel Dec 03 '13 at 20:35