Hi everyone

I have a notational question, which is written usually in papers, but I can not figure it out what could be. Let $M$ be an $A$-module. I have seen this notation $$M^{\otimes -n}$$

I think this would mean $(Hom_A(M,A))^{\otimes n}$, but in the other way this can be denoted by $((M^*)^{\otimes n}$. Is this a standard notation?