The phrase 'powerful over' itself is not grammatically correct.
You can however use the phrase 'powerful over' as part of a longer phrase, such as 'powerful over the world'. For example, you could say: "He wielded powerful over the world."
This can be very powerful over large libraries.
Graphics Processing Units (GPUs) have become increasingly powerful over the last decade.
They're ponderous and clumsy and slow, powerful over time, but not deft.
Criminal behaviour, he asserted, is a natural occurrence in a society that favours the wealthy over the poor and the powerful over the weak.
Roadside bombs have been the single deadliest weapon insurgents have directed against American forces in Iraq, and have grown increasingly sophisticated and powerful over the years.
Jerome Rothenberg's poetry offered jeremiads against the successes of the rich and powerful over the weak and the poor, and then a lament for the Holocaust.
If you are like me, when you get the flu you head straight to the pharmacy and grab the most powerful over-the-counter medicine you can find.
SMOTE (Synthetic Minority Over-sampling Technique) [ 7] is a powerful over-sampling method that has shown a great deal of success in class imbalanced problems.
Ask a doctor about this treatment, or purchase a less powerful over-the-counter version.
Eve's effect on Hilliard is nicely rendered, not just by evocation of her physical beauty but by "some trick of her voice, or some indescribable movement of her head - the trifles which are all-powerful over a man in love".
He's got that engine that makes him super-powerful over that distance," admitted Thomas.
