I think there isn't need to strong acid or base sterilization. I haven't hear any organism could be alive in strong acid or base. of course you could dilute your acid or base by sterilized water and laminar hood.

thank you

you can use filtration as a method of sterilizing your acids and bases. there's a membrane filter called Durapore (from Millipore I think) that can be used for such strong chemicals if you want them free from contaminants. Best of luck!