Nembou trained as a mathematician, receiving a BSc in Mathematics from the University of Papua New Guinea (1975), MSc in Operations Research from the University of Sussex (1978), and PGDip in Statistics from Canberra College of Advanced Education (1983).

She spent two years at the University of Wollongong as Academic Registrar and Assistant Professor in Mathematics.

[5] She spent twenty five years at the University of Papua New Guinea, her positions included Senior Lecturer in Mathematics, Head of Mathematics Department, Executive Dean of School of Natural and Physical Sciences, Pro-Vice-Chancellor and Acting Vice-Chancellor.

[3] Nembou is a former board member of Coalition for Change Papua New Guinea,[6] an advocacy group that campaigns against gender based violence.

She has also lobbied for the criminalisation of domestic violence in Papua New Guinea and for the adoption of the Family Protection Act.