ELement A has a valence electronic structure of ns2np1. Element B has the valence electronic structure of ns2np5.

Oh I meant
Would you expect a compound from elements A and B to conduct an electric current in its solid state and why???

I would expect it to conduct an electric current BECAUSE I believe it would be an ionic comopund. Element A is in group III and element B is in group VIIA (or 17 depending upon the system you are using); compounds between elements in those groups generally are ionic.