The powers of a GOD? What does that even mean? No AI is going to be able to go "Let there be light!" and make there be light. Heck, no AI is going to be able to go "I will hack into this camera and spy on you!" without either spending the requisite CPU-hours to crack the passwords or encryption protecting it, or analyzing all its attack surface for weaknesses like a hacker. Computational complexity is REAL, P does not and never will equal NP (we just don't know how to prove it yet), and there are real physical limits on the computing power that you can fit inside a given volume and its energy budget.
AT ITS BEST, an AI will have the same powers as a civilization of humans working together using computers the old-fashioned way, only faster.