How to Say "rigorously" in Spanish
The Spanish word for “rigorously” is “estrictamente” — B1 level. This is a very common word in everyday Spanish.

Examples
Los alumnos deben seguir las reglas estrictamente.
Students must follow the rules strictly.
El horario se cumple estrictamente en esta oficina.
The schedule is strictly followed in this office.
The '-mente' Ending
This word is formed by taking the adjective 'estricta' and adding '-mente'. It works just like adding '-ly' to an English word to describe how an action is done.
One Form for Everyone
Unlike adjectives, this word never changes. It stays the same whether you are talking about one person, many people, men, or women.
Don't change the ending
Mistake: “estrictamenta”
Correction: Always use 'estrictamente'. Even though it comes from the feminine 'estricta', the final 'e' in 'mente' never changes to 'a'.
Related Translations
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