The phrase "able to exert some" is correct and usable in written English.
It can be used when discussing the capacity or ability to influence or apply force in a certain context.
Example: "The team was able to exert some influence over the decision-making process."
Alternatives: "capable of applying some" or "able to apply a degree of".
The party should be able to exert some political power.
Similarly, the congressional committees are able to exert some influence on the budget during its preparation.
However, a few species of insects form large groups that are able to exert some control over these processes.
"It's nice to feel like we are finally able to exert some influence," said Gene DeRose, chief executive of Jupiter Communications, an Internet market research company.
Foreigners, that suggests, have been able to exert some influence, but they will inevitably find it harder to do so now, if they have to deal with outlaws.
The suggestion that MPs might ultimately be able to exert some control over the final Brexit settlement prompted the pound to surge immediately against the dollar in exchange markets.
So it's not inconceivable that a unified Dem front might be able to exert at least some leverage and have some kind of impact on the final deal.
"It's clear that Jiang Zemin has successfully installed many of his people in key positions and he will probably be able to exert influence for some time to come," said a senior editor of a major party newspaper.
It is unclear, however, how much power the new Iraqi force will be able to exert over the embattled insurgents, who have shown some military skill and are said to include foreign fighters.
Another goal - an unstated one - is to claw back some of the influence China has been able to exert over Burma during the years of isolation and sanctions.
