Oxygen Bleach Detergents
Mixing the product oxygen bleach powder and chlorine bleach is not a safe choice. Detergents with oxygen bleach added to them have a different formulation than just the oxygen bleach powder so while it is not unsafe to mix them with chlorine bleach you probably will not see an improved performance. Detergent manufacturers are rather silent on this issue as they typically do not want include language of "don't use" on their products. Short answer: more is not always better.