The competition of intense-field multiple-detachment with-efficient photodissociation of F-2(-) is studied as a function of laser peak intensity. The main product channels are disentangled and characterized by 3D coincidence fragment imaging. The presented kinetic energy release spectra, angular distributions, as well as two-color pump-probe measurements allow identification of competing sequential and nonsequential mechanisms. Dissociative detachment, producing two neutral atoms (F + F), is found to be dominated by a sequential mechanism of photo dissociation (F- + F), followed by detachment of the atomic anion fragment. In contrast, dissociative ionization (F + F+) shows competing contributions of both a sequential two-step mechanism as well as a nonsequential double-detachment of the molecular anion, which are and by the kinetic energy released in the dissociation. Triple-detachment is found to be nonsequential in nature and results in Coulomb explosion (F+ + F+). Furthermore, the measured kinetic energy release for dissociation on the (2)Sigma(+)(g) state provides a direct measurement of the F-2(-) dissociation energy, D-0 = 1.26 +/- 0.03 eV.