Just a comment: Performing bench or squat with approximately 60% of a 1RM, focusing on moving the weight with maximal speed maximizes power given that you are benching or squatting. It doesn't maximize power over the set of available exercises. BTW this is something that comes across garbled in Simmons' writings: You can hit yourself in the head explosively, but it won't do much for your athletic performance. From what I know, jerks have the highest power output out of the big 3 and olympic variants, followed by cleans. (Also, the 40-70% scale just barely applies to olympic lifts, where power output is maximized at relatively high percentages (70%+).)
However, depending on your previous training and natural abilities, training for "power" may not mean that you need to perform movements that maximize power (read olympic lifts or speed big 3). Maximizing absolute strength (with low velocity, high force movements - e.g. heavy squatting) will shift the force-velocity curve upward and may allow you to generate more power at a certain exercises. Similarly, increasing your speed (with high velocity, low force movements - e.g. box jumps) can also shift the force-velocity curve upward.