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I have one question on my mind is that could it be work if I swap 2011 mid MacBook Air 13" Display to 2015 MacBook Air 13" cause 2011 Macbook wasn’t power up well Thanks

Sorry to say the two display assemblies are different! The iSight cameras are different and the cables are different lengths as well. The direction you are hoping to transfer the display won’t offer enough length in the cable to even try. MacBook Air 13" (Late 2010-Mid 2011) Display AssemblyMacBook Air 13" (Mid 2013-2017) Display Assembly