"supernatural power" is correct and usable in written English.
You could use it in a sentence such as: Many ancient cultures believed that their deities had supernatural powers.
The shaman is characterized by supernatural power acquired as the result of a direct personal experience.
The correct recitation, often with accompanying gestures, is considered to unleash supernatural power.
Supernatural power was attributed to blacksmiths, since their art was considered a divine gift.
"I realized only the supernatural power of the Holy Spirit could help me," he said.
To have reached that position is a measure of the supernatural power of the Potter project.
The other problem, though, is the coy nod to supernatural power.
Today's populist movements attribute limitless malice and almost supernatural power to their opponents.
Yet it isn't just Achilles' supernatural power that makes him such a compelling hero.
Arctic literature embodies simple stories of hunting incidents in which the heroes are sometimes helped through supernatural power.
The use of supernatural power to control events or transform reality was basic to every California group.
These mythologies are related to the concept that all animals have souls or spirits that give them supernatural power.
