Is the product group of finitely many copies of the multiplicative group of positive real numbers a reductive group?

Question

Let G be the multiplicative group of positive real numbers. Is the finite product group $G \times \cdots \times G$ reductive?

I am trying to construct the moduli space for some quiver representations and the properties I am looking for are forcing me to look at the action of this particular group. So if this group is reductive then we can construct the moduli space by GIT. If not, what else can be done to construct the moduli space?