This is a vast subject.
Technically, hydraulics is a means of transforming energy to obtain what we want - in this case, to apply a very (very) high force to cut or crimp/punch.
All other means of transforming energy (pneumatics, gears, chains, cam systems, etc.) also have their advantages, but hydraulics is the one that provides the greatest reduction in effort, in the smallest space.
For example, a manual tool, with the force of 2 arms, can exert a force of around 30daN, whereas a hydraulic press can generate a crimping force of 125kN, or 12500daN. We're talking about a gear ratio more than 400 times greater than that of a manual tool, all combined in a mini-hydraulic power unit weighing just 3kg.
In all our tools, hydraulic pressure will technically reach between 500 and 700 bar (daN/cm²).