Absolute zero is considered to be the point at which all motion ceases. If this is the case how do you explain the theory that says that ...

The First Law of Thermodynamics, or more commonly known as
the Law of Conservation of Energy states that it is not possible to create nor destroy
energy.  Energy can only be changed between the six standard forms of energy:
mechanical, electrical, radiant, thermal, chemical, and
nuclear.

When we say that we are lowering the temperature
of an item to absolute zero, what we are saying is that we are reducing the amount of
thermal energy that an object has.  We are not destroying the energy, we are simply
changing the energy content of the object.  The thermal energy is either being
transferred out of the object into something else, or the thermal energy is being
converted to two or more of the other forms of
energy.

Absolute zero may mean "no motion" in a general
sense as kinetic energy is linked to thermal energy (through the kinetic-molecular
theory), but it does not mean the object has "no energy".