Your question is also known as the Omnipotence paradox. It arises with specific meanings of the term "all-powerful". If one assumes that an all-powerful being has no limits and is capable of realizing any outcome, this should include logically contradictory tasks like creating a rock so big that even the all-powerful being cannot lift it. One way to avoid the contradiction is to define "all-powerful" as only referring to the surroundings and not god itself. Other solutions define "all-powerful" to not include logically contradictory abilities like e.g. creating a square circle. Actually the Omnipotence paradox is a family of paradoxes and has been discussed among scholars since at least the 10th century.
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