The present disclosure relates to a cosmetic product for changing the natural color of keratin fibres, in particular human hair, which contains at least one packaging (VP) and a cosmetic composition (KM) found in said packaging (VP). The packaging is made of a multi-layered film (F) which contains at least two polymer layers (P1) and (P2) and at least one barrier layer (BS). The cosmetic composition comprises at least one oxidizing agent, at least one C8-C30 alcohol, at least one specific anionic surfactant, and at least one non-ionic surfactant. The use of the packaging (VP) in combination with the cosmetic composition (KM) surprisingly does not lead to an expansion of the packaging or an excessive loss of water from the agent (KM) during storage.
