There is not much to compare the two... .NET for Windows Store Applications is subset (mostly) of the full .NET framework and it has a specific goal - to develop applications for Windows Store...As not all platforms (of Windows) can run a Windows Store application, you should decide what are you want to develop than choose your exact platform...
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I need rich user interface
There is a Windows.UI namespace for that...
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turn it into machine code
It is not for Windows Store apllications only...
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Are they of the same power
Both are .NET based - so what the question?