The document proposes an energy efficient virtual network embedding (EEVNE) approach for cloud computing networks to reduce power consumption. It models the approach using mixed integer linear programming and compares it to two other approaches from literature. The results show that the EEVNE approach achieves maximum power savings of 60% compared to the bandwidth cost approach under an energy inefficient data center power profile. A heuristic called REOViNE is also developed that approaches the power savings of EEVNE.