Mike Bickle emphasizes the power and effectiveness of fervent prayer as described in James 5:16, asserting that the prayers of the righteous accomplish much beyond our understanding. He explains that our ability to pray effectively is rooted in our relationship with Jesus, our confidence in His authority, and our commitment to righteousness and community. Bickle highlights that prayer is not about our feelings but about engaging earnestly with God, regardless of our emotional state. He encourages believers to persist in prayer, emphasizing that even weak prayers can yield powerful results when aligned with God's will. Ultimately, he reassures that every prayer is remembered by God and contributes to His purposes, both now and in eternity.