What is the systematic name for the compound Mn2(SO4)3?

The systematic name for the compound Mn₂(SO₄)₃ is manganese(III) sulfate.

To explain this further, we can break down the components of the compound. Manganese has multiple oxidation states, and in this compound, it has an oxidation state of +3. This is indicated by the Roman numeral III in the name. The sulfate group (SO₄^2-) has a charge of -2. Since there are three sulfate ions, the total negative charge contributed by sulfate is -6. To balance this, we need two manganese ions, each with a +3 charge, contributing a total of +6. Thus, the complete name is manganese(III) sulfate.