1 Peter 2:13-14

13 Submit yourselves for the Lord’s sake to every human institution, whether to a king as the one in authority, 14 or to governors as sent by him for the punishment of evildoers and the praise of those who do right.

Included in their excellent behavior (v. 12), they were to submit to the king (the authority figure), and also to local governors—those who carry out the kings orders to both punish evildoers and honor those who do right. Of course, every believer will try his best to be a good citizen and thus be a good testimony in front of his neighbors.