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You might need to contact Sony support to get it examined:
Sorry to hear.
Unfortunately, if you have charged the Tablet for a longer time but there are no reaction when trying to power it on, I suggest that you visit nearest service center to have your unit examined by a technician.
You can contact your local support team for further information about nearest service center and/or how to proceed with this in the best possible way:
http://support.sonymobile.com/global-en/contactUs/
Glad to hear.
Was the battery completely flat?