She showed off her talent.

Literal

She [topic-は] talent [object-を] demonstrated.

発揮する is a precise verb meaning 'to manifest, exercise, bring to bear (a skill or quality)' — 才能を発揮する ('show one's talent'), 力を発揮する ('exercise one's strength'), 実力を発揮する ('display one's true ability'). The 発 ('emit, produce') + 揮 ('wave, brandish') compound captures the sense of releasing something held inward into visible action. Distinct from 見せる (just 'show') and 自慢する ('boast about') — 発揮する has a more neutral, accomplishing tone, often paired with situations where the talent is genuinely needed.