Based on the celebrated Prisoner's Dilemma game, we study the roles of mutation mechanism on the evolution of cooperation with extortion strategies on clustered scale-free networks. It is shown that the cooperation can be boosted under the influence of extortion strategies with small mutation rate. This is due to that mutation helps the formation of alliance between extortion and cooperation strategies, and extortioners tend to locate on hubs and induce more small-degree neighbors becoming cooperators on high clustered scale-free networks. However, too smaller or larger mutation rates will inhibit the emergence of cooperation, and the positive influence of mutation on the cooperation disappears on low clustered scale-free networks. This work may provide some clues to explore efficient methods to optimize performance on networked systems.