A more thorough explanation:

In the legal concept of a power of appointment, the objects of the power refer to the group of individuals that the person holding the power (known as the donee) can choose from. This means that the donee has the authority to select who will receive the property or assets subject to the power of appointment.

For example, if a wealthy individual creates a trust and grants a power of appointment to their adult child, the child may have the power to choose which family members will receive the trust assets upon the parent's death. The objects of the power in this case would be the family members that the child can select from.

Another example could be a will that grants a power of appointment to the executor. The executor may have the power to choose which charities will receive a portion of the estate. The objects of the power in this case would be the eligible charities that the executor can choose from.

Overall, the objects of the power are the individuals or entities that the donee can select from when exercising their power of appointment.