Q: My iPod Touch 5 shut down and it won't turn back on. How do I turn it back on?

Assuming it is fully charged.

A reset may help. Tap and hold the Home button and the On/Off buttons for approximately 15-20 seconds, until the Apple logo reappears. When the logo appears, release both buttons.

No content is affected by this procedure.

If that does not work try the items of:

- iOS: Not responding or does not turn on           

- Also try DFU mode after try recovery mode

How to put iPod touch / iPhone into DFU mode « Karthik's scribblings

- If not successful and you can't fully turn the iOS device fully off, let the battery fully drain. After charging for an least an hour try the above again.

- Try another cable                                                       

- Try on another computer                                                       

- If still not successful that usually indicates a hardware problem and an appointment at the Genius Bar of an Apple store is in order.

Apple Retail Store - Genius Bar                                     

it worked ty