Definition of Omnipotence: God can do anything.
Analytic philosophers and sophisticated Theologians want to add all these well thought out qualifications to Omnipotence such as that God can do anything which is not contrary to his nature, or which is logically possible, or which is logically feasible, et cetera. I think we can treat these qualifications as implied by the simpler statement ‘God can do anything’. If somebody objects by saying that God cannot create a square-circle, or create a rock so heavy that he cannot lift if, or create an evil version of himself, or create a married bachelor, then we can object that none of these are things, and thus they are not included in what is meant by ‘any-thing’. They are simply linguistic confusions. Though one can put together sentences by stringing words together without any grammatical faux-pas, that does not imply that those sentences have any propositional content. For instance the sentence ‘two plus two equals red turtles’ is perfectly fine grammatically, but (apart from some very eclectic universe of discourse) it is empty of propositional content.
Suppose that somebody objects that there are logically possible things which God cannot do, such as ‘make Billy [libertarian-freely] propose to Sue‘ those are not things God can do precisely because God cannot ‘do’ those things at all (he isn’t the subject performing the action or accomplishing the verb, represented linguistically as the nominative noun).
Suppose that somebody objects that God cannot act contrary to his nature, for instance by ceasing to exist or by acting in an evil way, again we must respond that God does not have a nature with which he is not identical (God’s essence is identical with God, and thus all of God’s attributes are identical with God), and thus that the proposition “God ceases to exist” is as grammatically contradictory as the sentence “God creates a square-circle” since God’s essence is to exist or ‘existence’ itself, and existence cannot cease to exist (just as ‘The Good’ cannot be contrary to itself).
All one needs to understand omnipotence, therefore, is a good grasp of grammar, syntax and modality.