Authority Explanation 

Jesus Christ is not the Image of word alone, but the Image of invisible trinity God, that means in Jesus Christ we can see our Heavenly Father (I and the Father are one - John 10:30), and the Son (He who came down from heaven, that is, the Son of Man who is in heaven - John 3:13), and the Holy Spirit (Lord is the Spirit - 2 Cor 3:17a & if I do not go away, the Helper will not come to you - John 16:7).

When Apostle Peter spoke about Christ's Trinity, he mentioned that Son(Word) with Holy Spirit and Father(Power) - how God anointed Jesus of Nazareth with the Holy Spirit and with Power, who went about doing good and healing all who were oppressed by the devil, for God was with Him - Acts 10:38

While casting the demons, Jesus Christ demonstrated this wonderful truth that he is the Trinity God(Father, Word and Holy Spirit), lets see them one by one.

Casted the demons as Father - who came to hear him and to be healed of their diseases. And those who were troubled with unclean spirits were cured. And all the crowd sought to touch him, for power came out from him and healed them all - Luke 6:18-19

Casted the demons as Word(Son)- That evening they brought to him many who were oppressed by demons, and he cast out the spirits with a word and healed all who were sick - Matthew 8:16

Casted the demons as Holy Spirit - But if it is by the Spirit of God that I cast out demons, then the kingdom of God has come upon you - Matthew 12:28-32 & But if it is by the finger of God that I cast out demons, then the kingdom of God has come upon you - Luke 11:20

Like that Jesus Christ casted the demons as a Father, as a Word and as a Holy Spirit, and the demons acknowledged our savior as a single person, the Son of God - And whenever the unclean spirits saw him, they fell down before him and cried out, You are the Son of God - Mark 3:11