When Jesus came into a room the power was present to heal.
"But so much the more went there a fame abroad of him: and great multitudes came together to hear, and to be healed by him of their infirmities. And he withdrew himself into the wilderness, and prayed. And it came to pass on a certain day, as he was teaching, that there were Pharisees and doctors of the law sitting by, which were come out of every town of Galilee, and Judaea, and Jerusalem: and the power of the Lord was present to heal them." - Luke 5:15-17 KJV
Here is a great quote (I added the Strong's numbers):
'A tremendous process of healing is available to us, expressed by the various Greek words used for 'power' in Ephesians 1:19-21: God gives us His dunamis (Strong's G1411) - that is, His inherent ability because of who He is. Energeia (G1753) is the operation of God’s power in its proper place. Ischus (G2479) and kratos (G2904) work together to manifest that ability toward us. Then, in faith, believing, we choose to operate through His power in our frame of reference. Thus, we experience divine deliverance based on kuriotes (G2963) - Christ’s dominion over all things.' - P Carl Stevens
There is one more word for power not mentioned here, exousia (G1849), and it is the power of authority.
Dunamis is the word used in Luke 5:17. Jesus healed because of His nature. Virtue flowed out of Him. The verses that follow are amazing.
"And, behold, men brought in a bed a man which was taken with a palsy: and they sought means to bring him in, and to lay him before him. And when they could not find by what way they might bring him in because of the multitude, they went upon the housetop, and let him down through the tiling with his couch into the midst before Jesus.
And when he saw their faith, he said unto him, Man, thy sins are forgiven thee.
And the scribes and the Pharisees began to reason, saying, Who is this which speaketh blasphemies? Who can forgive sins, but God alone?
But when Jesus perceived their thoughts, he answering said unto them, What reason ye in your hearts? Whether is easier, to say, Thy sins be forgiven thee; or to say, Rise up and walk? But that ye may know that the Son of man hath power upon earth to forgive sins, (he said unto the sick of the palsy,) I say unto thee, Arise, and take up thy couch, and go into thine house.
And immediately he rose up before them, and took up that whereon he lay, and departed to his own house, glorifying God. And they were all amazed, and they glorified God, and were filled with fear, saying, We have seen strange things to day." - Luke 5:18-26 KJV
In a way what the Pharisees said was true. Who can forgive sins? Who has that ability? Who has that right? Jesus did because of what He was about to do. He was going to go to the cross. His victory was present in His life before the event even happened in time.
Which is easier? Both are impossible for a fallen person. When we come under His covering we have the power to think with God. The Holy Spirit that has made our human spirit alive brings us into a divine dynamic.
Healing is waiting right there behind forgiveness. Jesus used healing to showcase God's forgiveness.
Healing is a sovereign thing. God's has a time and place in His plan for such things. But when we walk into a room forgiveness walks in with us and people may well see some 'strange things' when that forgiveness is showcased.