Answer
The higher acidity of HClO4 compared to HClO2 can be explained based on the structures of the two molecules. The anion formed by the proton from HClO2 is stabilized by one CL=O bond where is case of HClO4 the anion formed is stabilized by 3 -CL=O bonds so HClO4 is more stable compared to HClO2 so HClO4 is stronger acid than HClO2