Cosmetic composition for lightening the color of keratinic fibers, including at least two separately packaged formulations (A) and (B) which are mixed immediately prior to application to give an application mixture, wherein the formulation (A), based on its total weight, contains from about 10% to about 99% by weight of peroxodisulfate(s), and the formulation (B) is a free-flowing composition comprising water and at least one oxidizing agent, characterized in that the formulation (A) has been packaged in a water-soluble film including, based on its total weight, at least about 60% by weight of a polymer mixture having a multimodal molecular weight distribution, feature above-average application properties.
