The phrase "escape their power" is correct and usable in written English.
It is typically used in situations when you want to convey that someone is trying to avoid or flee from a force or power that is being exerted over them. For example: "The villagers attempted to escape their power and flee the town".
He also believes that Rupert Murdoch and the political élite have escaped, their power undiminished and their behavior unaltered.
Dash and Violet use their powers to escape their captors and are joined by their parents, only to be captured by Syndrome, who then heads off to initiate his plan.
Power could escape their grip, they have been told, unless the party eradicates seven subversive currents coursing through Chinese society.
Two managed to escape under their own power, while two others were rescued by firefighters and members of law enforcement.
Some people were freed by the attackers after showing they could recite verses from the Koran, while others were brought out by security forces or managed to escape under their own power.
Few actors, regardless of any current success in their careers, can ever truly escape the power of nostalgia.
It provided the major routes followed by the Bantu-speaking peoples during their recurrent southward migrations; and in the 1830s the Voortrekkers (pioneer Boer farmers), who moved northward from Cape Colony to escape the power of the British, made the Highveld their home as well as their highway.
Through such arrangements, industry executives say, customers can lower their power bills, escape the uncertainty of fluctuating energy costs, and avoid the complex bureaucracy of federal and local credits, rebates, grants and tax breaks.
The Peraglias sold their house to buy a bigger one just down the road, not to escape the power plant situated less than five miles away.
The issue is highly sensitive in China amid a growing perception that civil servants had been abusing their power and escaping appropriate punishment.
