What does it mean to pray "in Jesus' name"? How can your life have the power and authority of Jesus behind it?

“Whoever listens to you listens to me; whoever rejects you rejects me; but whoever rejects me rejects him who sent me.”

~Luke 10:16

To pray "in Jesus' name" means that you are giving your pray - whatever it may be about - to Him and that yo utrust his authority based on your faith in him.  Your life has the power and authority of Jesus behind it all based on what you say in your prayer.  If you believe that he will answer it, then you have the reason to not feel defeated in this world.  Life never comes easy, but through prayer, the power of Jesus always comes to save.