I think the book with the handprint on the cover is called The PowerThe Power.
In The Power the world is a recognisable place: there's a rich Nigerian kid who lounges around the family pool; a foster girl whose religious parents hide their true nature; a local American politician; a tough London girl from a tricky family. But something vital has changed, causing their lives to converge with devastating effect. Teenage girls now have immense physical power - they can cause agonising pain and even death. And, with this small twist of nature, the world changes utterly.
Is that it?