Plug in the power charger and wait about 15 minutes to make sure it gets enough charge, and then try turning it on again.
If it still won't turn on, try to reset the Kindle Fire again to be sure it's powered off.
for most of the time, this doesn’t mean that it’s “broken” or has a problem. Most of the electronic devices, including smartphones or tablets, have a tendency to become “stuck”, when the device is stuck, the power is on but it will not work properly because it’s locked up.
To unlock the Kindle device, the easiest and fast solutions is reset your Kindle device. Press and holding down the power button for 20 seconds or more. Then turn the device back on by hitting the power button again. If this doesn’t work the first time, you can try holding the button down for 30 seconds or more. Most of the time, this will be all you have to do to get the Kindle Fire up and working again.
Plugging the Kindle device into your computer and wait about 30 minutes before trying to turn it on again. If the device refuses to start up, try resetting it again.
If it still won’t turn on, it’s possible that you have a broken charging cable. The cables that come with the Kindle are not known for their quality. Try charging the tablet with another cord that has a Micro USB connection and see if the device responds. Normally, the charging cord from your smartphones and tablets(Android Device) will work with the Kindle.
And there is another possibility that the battery is broken, then you need to replace a new one. but if you found that it's hard to handle then you need to seek professional help.
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