Will a line out dock power my amp with a rechargable battery?

Looking to invest in some new headphones and i'm trying to get the best sound quility i can.i've searched the enternet and the best way i found is using a headphone amp. I want to know if using the LOD will actualy run my amp
i'm putting links so if you want you can look at what i'm working with. I'm really just looking for some advice on the best set up i'm on a dudget and not trying to spend alot of money.
lod
(http://www.amazon.com/FiiO-L9-L-Shaped-Cable-iPhone/dp/B004QVNNI0/

amp
(http://www.amazon.com/FiiO-e5-E5-Headphone-Amplifier/dp/B001P9EQH8/

The LOD will provide an audio signal for the amplifier to amplify. It will not provide the power supply for the amplifier to operate with.

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