J.R. S. answered 03/01/21
Ph.D. University Professor with 10+ years Tutoring Experience
First of all, MnO4 has a -1 charge as it is the permanganate ion MnO4-).. You ignore the 2 in front of the MnO4- because that just tells you how many moles or molecules etc. of MnO4- you have. The oxidation state doesn't change whether you have 1, 10 or 100 moles. The way you determine the oxidation number of Mn is as follows:
The oxidation number for O is 2- and there are 4 of them, for a total of -8.
Since the charge on the entire MnO4 molecule is -1, that means the Mn must have a charge/oxidation number of +7. So, that's how you get the answer.