Do not neglect the importance of lower body strength. Your legs play host to the largest, most powerful muscles in your body. The legs carry you from point A to point B. The legs produce the force necessary to explode towards your opponent.
In combat, the legs, hips, trunk, and core generate the power necessary to deliver explosive kicks and punches. Much of your power originates from the lower body. When you punch, the power starts from the ground, as you violently pivot on the balls of your feet. The hips and trunk then take over, as the punch is thrown.
Leg and hip strength is also necessary for kicking. Your power originates from the legs. Powerful kicks require explosive hip action. Exercises such as lunges, step-ups, and squats offer tremendous benefits to combat athletes. Build your house on a rock solid foundation. Train the legs!