Exousiazo derives from exousia (authority/power). In Luke 22:25 Jesus critiques the way Gentile rulers 'exercise authority' (exousiazousin). In 1 Corinthians 6:12 Paul warns that while all things are lawful, 'I will not be dominated by [exousiasthisomai] anything.' In 1 Corinthians 7:4 it describes the mutual authority spouses have over each other's bodies.
The range of exousiazo exposes two kinds of authority: the domination of worldly rulers (which Jesus critiques) and the domination of addictive things (which Paul warns against). Christ's authority is different in kind: He exercises it by serving and dying (Mark 10:45). Christian freedom is liberation from every authority except Christ's — no substance, no habit, no craving should have exousia over the believer. Conversely, the mutual authority of spouses models the self-giving love of Christ for the church.