I suppose there are many answers to this question. Here's one... or so.
I believe that the power of prayer is first felt inside of us. It's a sense of God's assent, somewhat like someone answering our phone call when the phone has been ringing for a long time and we're wondering if maybe we should just hang up and try again another time. Then a voice answers and simply says, "I'm here. I'm listening to you." Communication has been established!
God has assented to our calling. God has assented to be in relationship with us. God has assented to us—to you, to me, to who we are and who we hope to be. But why? you might ask. And why now? Because that is God's deepest desire and what God has been hoping for all along. I believe that we experience the power of God when we sense God's assent to our seeking and even realize that God has been reaching out for us all along.
The power of prayer is the power that comes to us when we realize that God can be our point of reference in the midst of all the confusions of our daily lives, the steadfastness of God rather than the incomplete, fragile inconsistencies of ourselves. It's the power that comes when we're able to be centered, anchored in a belief and rooted in a Truth, which is stronger and deeper than the day-to-day truths we struggle with.
I think this may have been what the apostle Paul had experienced when he wrote to the people of Ephesus about God's desire for us "that we may no longer be children, tossed to and fro and carried about with every wind of doctrine, by the cunning of people, by their craftiness in deceitful wiles." (Ephesians 4:14) In prayer our hearts and minds can be focused on the eternal truths of God and not the changing, fickle truths of human knowledge and human nature.
The power of prayer is the constant renewal of perspective. Prayer opens our eyes. It extends our horizons. It sheds light into the darkness of our fears and our sorrows, our hopes and joys, our shame and our pride. It gives us new ways of seeing life and relationships, of understanding work and the cost of growing.
The power of prayer is real and palpable. You can feel it and know it and depend on it. It comes to us as a gift, but we need to do our part as well. God calls us to pray and through our prayer, God empowers us and gives us strength.
hugs...love & blessings to you all