If any object is manually lifted, then greater power is required to lift the object.
But by using a jack, lesser power is required.
Work done = Force X displacement
Greater force is required to displace any object.
For a screw jack, rotational force (torque) is used.
The formula for torque is
Here, when we apply force by rotating such that its distance from the axis of rotation is maximum.
The concept here is torque is directly proportional to force applied and distance from the axis.
So, in order to minimize force, we can increase the distance from the axis.
Hence, we get more work done with lesser force.