To answer this question, we'll have to define "powerful" first. It is true that Satan/Lucifer does have power, but this power is limited. Let's look at 2 Corinthians 4:4, "The god of this age has blinded the minds of unbelievers, so that they cannot see the light of the gospel of the glory of Christ, who is the image of God." Being the "god of this age" means that Satan has influence over the unbelieving world, but it does not mean he has ultimate authority. Satan exerts his influence by blinding people from the truth and light of the Gospel. Specifically, he often pushes false thinking onto the unbelieving world such as the belief that a person can gain God's favour through their good works.
That being said, the question remains: If God is the almighty creator, and the authority over his angels, shouldn't God be more powerful than Lucifer and be able to banish his wrongdoings over us?
This question has been nicely answered by Got Questions Ministry. Click HERE to see their full answer. Though no one knows why God has allowed Satan to exert influence over people, three things must be realized:
1. Satan's time to influence grows shorter each day. He will be judged eventually and his influence will end.
2. Though Satan has influence and seeks to harm us, God is our protector. He can turn the bad things in our lives for our goodness.
3. When the Bible says Satan has power over the world, it must be made clear that God has given him domain over unbelievers alone. Believers are no longer under the rule of Satan (Colossians 1:13). We are in God's kingdom. No matter what Satan may do to us, we are sons and daughters of the true King. And we will be with Him when our lives on Earth are finished.
[Answered by Pastor HM]
