Adam Clarke on Acts 4:7

By what power, or by what name, have ye done this? - It seems that this council were convinced that the lame man was miraculously healed; but it is very likely that they believed the whole to be the effect of magic; and, as all intercourse with familiar spirits, and all spells, charms, etc., were unlawful, they probably hoped that, on the examination, this business would come out, and that then these disturbers of their peace would be put to death. Hence they inquired by what power, εν ποιᾳ δυναμει, by what supernatural energy; or in what name, by what mode of incantation; and who is the spirit you invoke, in order to do these things? False prophets, reputed witches, wizards, etc., were to be brought before the sanhedrin, to be by them judged, acquitted, or condemned, according to the evidence. Some think the words should be thus understood: Who gave you authority to teach publicly! This belongs to the sanhedrin. What, therefore, is your authority, and who is he who gave it to you?