It is normal for exporting to create a tiny bit of noise due to downsampling from 32-bit float to 16-bit.
The amount of noise in your image appears to be much greater than the expected noise, but could be due to your spectrogram settings.
If this is low-level noise that you can’t hear and you can’t see in the normal waveform view it’s probably [u]dither[/u]. If you want digital dead-silence, turn-off dither.
If you want digital dead-silence, turn-off dither.
But that can be dangerous. Dither is there to avoid distortion caused by conversion of Audacity’s super high quality internal format down to 16-bit for export. You might be trading an inaudible, very low volume dither signal for very audible conversion artifacts and distortion.
I wouldn’t say “dangerous”. At 16 bits or better you normally you can’t hear dither or the effects of dither. And dither is (very low-level) noise so if you want true-silence you can’t have dither. (Of course, there will always be some analog noise after digital-to-analog conversion which you may, or may not, hear.)