Xbox 360 not connecting to xbox live via ethernet cable and wifi extender

Hi, and thanks for reaching out. My name is Miguel O., Sorry to hear you're experiencing this issue!

We gonna proceed by clearing the cache of the device, to do that

Simply go to Settings > System Settings > Storage > Clear System Cache.

If you have any trouble following any steps or the issue persists let me know!

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heres this one too, in the network status it is unable to connect to the network . just wanted to add that

What model Xbox 360 do you have?

The 360S model runs at 2.4Ghz

You may need the wireless N adapter or you could get a wireless extender to connect to the wifi and plug an ethernet cable into that.

Hi there wukeage, are you currently hooking your Xbox upto LIVE via ethernet cable or WiFi? If you're using WiFi, I suggest using an ethernet cable instead.

Is your console connected wirelessly or via ethernet cable?

If you connect wirelessly, can you try to connect your console via network cable just for testing purposes, to see if the disconnects still happen?

That way we can concentrate on fixing WiFi issues only, or if the ethernet cord disconnects as well, extend troubleshooting to issues with your router or ISP.