I just bought Zotac Gaming GeForce RTX 3070 Ti Trinity OC NVIDIA 8 Go GDDR6X, but when I plug it to my mother board, with the PCI-express cable, it doesn't start. The GPU fans are not running and black screen, PC not booting.
My specs :
ASUS Z390 A PRO LDLC EC-500 Quality Select 80PLUS Bronze 500W Intel i9 9900 KF
I was wondering if my power supply was too low (it is 500W only), could this be the problem ?
Or could this be because my power supply dosen't have 2x pcie 8-pin or something ?
Here is a picture of the plugged GPU (the LED is on, but that's all) :

Many thanks
EDIT :
I finally bought a PSU with 750W Gold and it works perfectly now! I plugged both the 8-pin sockets to the GPU and the vents started running, everything is fine now, thanks for help