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What exactly happens when you try to turn on your TomTom?
What do you see, and what do you hear?
If you slide and hold the power button for 30 seconds to a minute.. Does it turn on, or make any noise, or show anything at all on screen?
If not, you may have a bad charging cable or even battery.
Do you have another charging cable you can test with? And when you plug the charging cable in, does the red charging light come on?