How are bacteria able to regulate their genes by two types of operons?

Operons are the functional units of transcription and genetic regulation. These are found in bacteria and their viruses where genes coding for functionally related proteins are grouped along the DNA.

The two types of operons are- inducible and repressible.

They regulate the genes as in negative inducible operons, a regulatory repressor protein is bound to the operator. It prevents the transcription of the genes on the operon. If positive inducer is present, it binds to the repressor and changes its conformation so it is unable to bind to the operator.

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