1. The problem statement, all variables and given/known data Define V =R with vector addition a+b=ab and scalar multiplication za=a^z. Show that V is a vector space. 2. Relevant equations a+b=ab, za=a^z 3. The attempt at a solution I was able to check all the axioms but one, the additive inverse axiom where for all v in V there exists a... -v in V such that v+(-v)= 0. So far I have this: a+0=a(0)=0. In this case I believe 0 is the additive inverse.