Ionic compounds are able to conduct electricity in the aqueous or molten state, but not in the solid state.
Reason: In the solid state, the OPPOSITELY-CHARGED ions of ionic compounds vibrate about their fixed positions. Thus, there are no free-moving ions to conduct electricity. However, in the molten and aqueous states, the ELECTROSTATIC FORCES OF ATTRACTION BETWEEN THE OPPOSITELY-CHARGED IONS ARE WEAKENED, thus there are free-moving ions that can act as mobile charge carriers to conduct electricity.