Hi
You don't say what operating system you use.
You do not say if you hear any signs of booting, the hard drive or fans spinning or if anything appears on the screen, even briefly.
I assume the laptop was plugged in and running during the power cut.
Try removing the battery for 30 minutes, reattaching it and then testing it again.
While, waiting, try to plug the laptop directly into the mains (battety less) and try to power it up like that.
If it does not power up after all these tests, then you probably have damage to the Power Management System of the Motherboard, which requires an internal repair to create new tracks on the motherboard to bypass original tracks damaged by the spikes and surges that often precede sudden power cuts and sudden power restorations.
Motherboards can be expensive to repair, as several cycles of disassembly, repair, reassembly and testing may be required before a warrantiable repair is completed to the repairer's standard of expectation and the customer's satisfaction. They cannot always be repaired and, if repaired, the fault can reoccur. Often, a motherboard failure means either a new motherboard (expensive hardware and labour costs) or a new laptop.
I hope this helps.
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