This is the 14755th most frequent Russian word.
пищевые
"Пищевые" translates to "food-related" or "edible" in English.
In this example, 'пищевые' characterizes 'аллергии' (allergies), suggesting that the allergies are triggered by food substances.
Пищевые аллергии могут быть опасными для здоровья.
Food allergies can be dangerous to health.
In this sentence, 'пищевые' is used as an adjective modifying 'продукты' (products), indicating that these products are related to food.
Пищевые продукты должны быть свежими.
Food products must be fresh.
Here, 'пищевые' describes 'добавки' (additives), specifying that they are related to food and its processing.