The import is that ,having been slighted by a Kshatriya,Parashurama decided to show that though Brahmins are soft by Nature and volition,they are not pushovers if the set their minds to. So he fought Kings,especially the Heheya Kings,to which Karthaviryurjuna belonged. This area was in the Narmada valley and areas surrounding it. Probable he crossed the Arabian Sea as well. One may recall that he created land out of sea to carve out what is present Kerala State in India. One may also recall that Parashurama settled down in South India and the Akkadian connection to Tamil. *Kinly check my articles on Rama Empire,Ellu in Akkadian Empire.