POWER SUPPLY is the place you should start first, unless you have motherboard diagnostic LED's or beeps that suggest otherwise.
Borrow, buy, or even test in a different PC.
If you see the CPU fan spinning then make sure it's not simply a lack of graphics output which could indicate a bad GPU. One solution there is to swap GPU's to another card, or remove it and use an iGPU if your CPU has one (monitor would then attach to the motherboard).