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 and at least on thickener from the group of xanthans. 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.
