In my opinion it has nothing to do with exposure time, exposure time creates streaks when the light object is moving, which is not the case here.
You could do it with some Spot lights within a fog, created by volumetrics: Create a cube and give it a Principled Volume node plugged into the Volume input of its Output. Keep the Density value of the Principled Volume very low. Put the spots inside the cube:
In Eevee it will need some additional tweakings: in the Render panel, increase the Sampling values, and under Volumetrics, lower down the Tile Size and increase the Samples values to have a better quality).
But volumetrics are heavy to calculate, if you want a lighter solution, you can create a cone for each light beam and give it the following material: Use a mix between emission and transparency with a Layer Weight as factor to create transprency on the borders, and use a Separate XYZ to create transparency on the length. In Eevee don't forget to choose Alpha Blend in the material Settings: