Collocations for exaggerate - verb

greatly, grossly, vastly, wildly
These figures have been greatly exaggerated.

a little, slightly, etc.
rather, somewhat
further
easily
The historical significance of these events can be easily exaggerated (= it is easy to think they are more significant than they are).

deliberately

tend to
John does tend to exaggerate slightly.

be easy to
be difficult to, be hard to, be impossible to
It is difficult to exaggerate the importance of developing good study habits.

highly exaggerated
The allegations were highly exaggerated.

Exaggerate is used with these nouns as the object:
difference, extent, importance, problem, significance