2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143932We answer a question of Schleicher by showing that, for an exponential map with nonescaping singular value, every periodic ray lands. This is an analog of a theorem of Douady and Hubbard concerning polynomials. We also prove a partial converse: there are periodic external rays landing at all periodic points, with the exception of at most one periodic orbit.10 pages, 2 figures // V4. Final Version - figures and references have been updatedDynamical SystemsComplex Variables37F10 (primary); 30D05 (secondary)text