The phrase "exerting significant influence" is grammatically correct and can be used in written English.
Example: The CEO of the company has been exerting significant influence over the board of directors, resulting in major changes in the company's strategies.
There are just a lot of people out there exerting significant influence over the political debate who are totally unqualified.
Regardless, analysts say that the company is exerting significant influence both on local elections and on the national debate about immigration — in part by encouraging Hispanics to cast a ballot.
Dust and water vapor are important constituents in the Martian atmosphere, exerting significant influence on the heat balance of the atmosphere and surface.
However, in terms of the distribution of relative power, the most important change occurred between 1989 and the early 1990s when the bipolar world system was replaced by an asymmetric multipolar system, with one sole superpower capable of acting and exerting significant influence at global level.
Overall, our results indicate that stand density and age explain much of the variation in tree characteristics and that 24 years after fire, the initial postfire regeneration density is still exerting significant influence on the structure and function of individual trees.
To speak of Sarkozy as a substitute for Tony Blair in Europe would be premature - and unhelpful, given Blair's inability to exert significant influence on US policy.
This statement refers to a hypothesis of Henrik Svensmark from the Danish National Space Institute, who has proposed that galactic cosmic rays (GCRs) could exert significant influence over global temperatures.
Diplomatic Courier: One of the fields in which youth have exerted significant influence is social entrepreneurship, or innovative ventures – whether for-profit, not-for-profit, or some combination – that seek to benefit society, says Dr. Zachary D. Kaufman.
Congress should amend the Voting Rights Act to make clear that it also wants to create districts in which minorities are less than a majority but exert significant influence.
Another priority for the Indians is the fear that the US will withdraw from Afghanistan, allowing a "fanatical" regime to take over and Pakistan to exert significant influence there.
