The Power of prayer.

I'm no expert in New Testament greek, but understand that word for prayer...when Jesus prayes in Gethsemani....When christians pray for Peter in prison, and angel sets him free...and in James where it mentions the "Fervent effectual prayer of a righteos man", is only used in these three incidents. It would seem therefore that this prayer is a very deep thing compared to other prayer?
Prayer may confuse many of us...what it is...how it works...what to expect! Many may feel prayer is not answered in a direct way. When we look at Jesus and the Acts of the Apostles we seem to be looking at another world of prayer entierly from our own.
Maybe your experiance has been praying hard, for a person, for a need, and seeing nothing happen. Maybe you feel that you have been praying very hard for an ill person, just to see, soo many times, them not recovering. Maybe you beleive that...well God healed them in taking them home, which is a fact! But you wonder why your prayers dont see physical healing!
Personaly my christian life is one of faith and trust in God, that He decides, allowes all things to come our way, so I rest in His Sovreign authority and will. But like you possibly, there is a desire to see more prayer answered in what I think off as a more positive way! By this I mean, actualy seeing things happen here on earth!
I am not saying I dont have prayer answered, I do!....but I do wonder about many prayers seeming not being heard, answered! Therefore I want to find out what prayer mentioned at beggining of this post is like, do we still have it today, or has prayer changed?
Your comments will be very welcome.