Did the mayans and egyptians rise to power at the same

No, not even close. The Egyptian civilization thrived from  3,000-1,000 BC (these are extremely rough dates. They existed before this and were conquered only by Alexander in the late 4th century). The Mayans thrived  200-900 AD, while the Aztecs dominated Central America from the early 14th century AD until the Spanish conquered them in 1521

No They don't Mayans about 3000 b.C And Egyptans 900-300 b.C