We study by numerical simulation the property of velocity distributions of granular gases with a power-law size distribution,driven by uniform heating and boundary heating.It is found that the form of velocity distribution is primarily controlled by the restitution coefficient η and q,the ratio between the average number of heatings and the average number of collisions in the system.Furthermore,we show that uniform and boundary heating can be understood as different limits of q,with q>>1 and q≤1,respectively.