Here's why:
* "Not marble, nor the gilded monuments / Of princes, shall outlive this powerful rhyme": This line establishes a contrast between physical monuments (marble, gilded statues) and the power of poetry.
* "But you shall shine more bright in these contents / Than unswept stone, besmeared with sluttish time": The speaker argues that poetry will preserve the subject's beauty and memory more effectively than physical structures that are subject to decay.
* "When wasteful war shall statues overturn, / And broils root out the work of masonry": He imagines a future where even the grandest monuments are destroyed, emphasizing the enduring nature of poetry.
Therefore, the "powerful rhyme" represents the enduring power of poetry to preserve memory and transcend time.