In Genesis 1, God gave Adam (man) dominion over all the earth; over the works of thy hands (Psalm 8). In Genesis 3, man disobeyed God and the result was that the dominionn was transferred over to Satan. In Luke 4:6, Satan tempted Jesus and showed him the kingdoms of the world and said, "All this power will I give thee..." if He would worship him. Jesus said, "Get thee behind me Satan..."
When Jesus died, He descended into hell and stripped Satan of his power, thus regaining all power and control in heaven and on earth.
Jesus Christ has authority over everyone, everwhere, and everything. He will be with His followers, and by His power make disciples of the nations. The power that He gives us through Him is immeasuarably greater than the things of this earth. He can change a man's heart and make him into a new creation. It is the power that shatters the darkness. It is the working power of the Good News that invites those to enter into His kingdom.