In this paper, we consider the usual Pell and Pell–Lucas sequences. The Pell sequence [Formula: see text] is given by the recurrence u n = 2u n-1 + u n-2 with initial condition u 0 = 0, u 1 = 1 and its associated Pell–Lucas sequence [Formula: see text] is given by the recurrence v n = 2v n-1 + v n-2 with initial condition v 0 = 2, v 1 = 2. Let n, d, k, y, m be positive integers with m ≥ 2, y ≥ 2 and gcd (n, d) = 1. We prove that the only solutions of the Diophantine equation u n u n+d ⋯u n+(k-1)d = y m are given by u 7 = 13 2 and u 1 u 7 = 13 2 and the equation v n v n+d ⋯v n+(k-1)d = y m has no solution. In fact, we prove a more general result.