Under the conditions of exponentiated Weibull turbulent channel and Nakagami-m fading channel, the performance of hybrid free space optical/radio frequency (FSO/RF) communication system based on the selective combination technology is studied in this paper. Considering the pointing errors, this paper deduces the average bit error rate and outage probability of the selective combination hybrid FSO/RF communication system which adopts subcarrier modulation and intensity modulation/direct detection scheme, and obtains their new expressions by Meijer-G function and extended generalized bivariate Meijer-G function. The bit error rate and outage probability performance of hybrid FSO/RF communication system and FSO system are investigated under different subcarrier modulation schemes, turbulence intensity, pointing errors and RF channel fading parameter m. The simulation results show that the performance of the hybrid FSO/RF communication system using coherent binary phase shift keying subcarrier modulation technology is significantly better than the other three modulation technologies, and the performance of hybrid FSO/RF communication system is better than that of FSO system.