The phrase "an exact representation of" is correct and usable in written English.
It can be used when describing something that accurately depicts or reflects another object, idea, or concept.
Example: "The painting is an exact representation of the landscape as it appeared during the summer."
Alternatives: "a precise depiction of" or "an accurate portrayal of".
The portrait, composed of Sulston's DNA, is an "exact representation" of its subject.
"And that's an exact representation of the damage," she adds, pointing from her wheelchair to the fused vertebrae almost half way along the vulnerable yet resilient structure.
Ms Prebble admits that hers is not an exact representation of events and that she has made changes for dramatic effect.
One reason is that the stockmarket is not an exact representation of the domestic economy (some sectors are in government, or family-run hands; the biggest companies are multinational).
In the context of science or the law, the photograph is used as evidence, as an exact representation of what has happened, but in other contexts, such as sensational news media where politicians are Photoshopped into caricatures or celebrities who have never met are seen in close embrace, we know the "truth" of a photograph to be a lie.
The black-and-white front cover shot on Dirty Mind is an exact representation of the persona Prince presents onstage – the army surplus flasher's mac (which he is wearing in the Holiday Inn at this very moment: "It's the only coat I've got"), the dark jockstrap-like underpants.
What has happened is astonishing: where the rest of the movie appears as a visually exact representation of the events that go into the story, the shot of Bruno looking into the camera just before he fainted with pain seems to have matched the inner quiet of the soundtrack.
However, for the needs of patients' grouping according to the new system, a clear and exact representation of the female's genital tract anatomy is the desired result of a successful diagnostic work-up.
A new compact and homogeneous symbolism is introduced to achieve a more general and exact representation of natural language texts.
As a consequence, LevelsDB forewent exact representation of original expression values.
In an attempt to have the exact representation of the dental, skeletal, and soft tissue data the clinician considered and analyzed before his treatment decision, the measurements were all gathered from the patients' initial charts.
