Romans 8:37 says that "we are more than conquerors and gain a surpassing victory through Him Who loved us" (AMP). This means that believers in Jesus are empowered by God to have victory over sin and the things in this world that try to keep us from living a godly life.
So what's the key to living in God's power? The anointing. The anointing is God's ability in you to enable you to do something with ease, without it being a struggle. Much like a car's engine eventually won't run very well without motor oil; trying to do life without the anointing will leave us with some issues.