This is the 9604th most frequent Spanish word.
apruebe
"Apruebe" means "approve" or "pass" (in the subjunctive or imperative form).
Here, 'apruebe' is used in the subjunctive form of 'aprobar,' indicating a hope or desire for the student to successfully pass the exam.
Espero que el estudiante apruebe el examen.
I hope the student passes the exam.
In this sentence, 'apruebe' is again in the subjunctive form, referring to the uncertainty about the council giving its approval to a new rule or regulation.
Es posible que el consejo no apruebe la nueva normativa.
It is possible that the council does not approve the new regulation.
Here, 'apruebe' functions as a subjunctive verb expressing the speaker's desire for the professor to endorse or accept their project proposition.