Try another outlet to make sure the outlet didn't go bad on you, then if that doesn't work, go ahead and try another known good working adapter if possible.
At that point if the working adapter doesn't get the Wii to turn on then that means the main board inside the Wii is bad and if its under warranty then call Nintendo and get them to replace the Wii.
when you plug it in power light comes on then when you push power button it goes out and does not...
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when you plug it in power light comes on then when you push power button it goes out and does not come back on