In this article we prove that multiplicative IP* sets contain two different exponential patterns and a finite product of a single sequence. This immediately improves the result of A. Sisto [4], where he proved that multiplicative IP* sets contain different exponential patterns for different sequences. Throughout our work we will use the machinery of the Algebra of the Stone-Čech Compactification of N.

We are thankful to Sourav Kanti Patra for discussions in several occasions. We are also thankful to the referee for his/her comments on the previous draft of this paper.