Chatchawan PanraksaAram TangboonduangjitMahidol University2019-08-232019-08-232018-11-01Fibonacci Quarterly. Vol.56, No.4 (2018), 348-353001505172-s2.0-85058052094https://repository.li.mahidol.ac.th/handle/20.500.14594/46094© 2018 The Fibonacci Association. All rights reserved. This work generalizes results on exact divisibility of powers of the Fibonacci number Fkn into another Fibonacci number Gk(n) defined iteratively by G1(n) = Fn and Gk(n) = FnGk-1(n) for k ≥ 2. In particular, we prove analogous results on nondegenerate Lucas sequences by providing explicit formulas for p-adic valuation of iterative terms in these sequences. The proof makes use of recent results by Sanna regarding the p-adic valuation of Lucas sequences.Mahidol UniversityMathematicsArticleSCOPUS