This is the 8755th most frequent French word.
baserait
"Would base" (conditional tense of "baser").
The word 'baserait' here is used in its conditional tense to indicate that the action of basing is hypothetical or dependent on some condition.
Il baserait son argument sur des faits solides.
He would base his argument on solid facts.
In this sentence, 'baserait' conveys that she would hypothetically use recent research as the foundation for her theory.
Je pense qu'elle baserait sa théorie sur des recherches récentes.
I think she would base her theory on recent research.
Here, 'baserait' demonstrates a hypothetical scenario where the decision-making is reliant on the team's input.