We present a procedure for nonlinearity management of metal-dielectric composites.Varying the volume fraction occupied by silver nanoparticles suspended in acetone we could cancel the refractive index related to the third-order susceptibility, (3) eff χ , and the nonlinear refraction behavior was due to the fifth-order susceptibility, (5) eff χ . Hence, in a cross-phase modulation experiment, we demonstrated for the first time the effect of spatialmodulation-instability due to (5) eff χ . The results are corroborated with numerical calculations based on a generalized Maxwell-Garnet model. PACS numbers: 42.65.An, 42.65.Jx, 78.67.Bf 2The nonlinear (NL) response of matter to optical fields can be described expressing the induced polarization by a power series of the field with NL susceptibilities, ( ) N χ , 2, 3, N = K , as coefficients of the series [1]. Since all even-order susceptibilities are null in systems with inversion symmetry, the lowest order NL response is generally due to the third-order susceptibility, (3) χ , which contributes for generation of fields that depend on the cubic power of the incident field. Therefore, most of the NL studies are related to (3) χ that is responsible for two-photon absorption, third-harmonic generation, and coherent Raman scattering, among other effects. Cascade processes of (3) χ behave analogously to high-order nonlinearities (HON) and were reported for gases and condensed matter systems [2]. Nevertheless, experiments based on HON, related to direct (not cascade) processes, have been reported for a large variety of systems [3]. HON are still under investigation from the fundamental point of view [4] and there is large interest in phenomena such as liquid light condensates [5], soliton formation [6, 7]and other transverse NL effects [7,8]. Interferences between third-and fifth-order processes have been reported for different systems [9]. It is also of interest the exploitation of HON in quantum information [10], quantum memories [11] and for improvement of high-precision measurements [12].The interest in novel effects related to quintic and cubic-quintic nonlinearities lead several authors to propose experiments with metal-dielectric nanocomposites (MDNC) [7].From the basic point of view MDNC are interesting systems because their NL response can be controlled by changing the nanoparticles (NPs) volume fraction, f (the ratio between the volume occupied by the NPs and the host). Indeed, the interest in the NL properties of MDNC is large in nanoscience and nanotechnology [13][14][15][16][17][18].