5:[["$","div",null,{"className":"crumbs","children":[["$","span",null,{"children":["$","a",null,{"href":"/","children":"Главная"}]}],["$","span",null,{"children":["$","a",null,{"href":"/gdz","children":"ГДЗ"}]}],["$","span",null,{"children":["$","a",null,{"href":"/gdz/algebra/7-klass/merzlyak","children":["Алгебра"," ",7," класс ","Мерзляк"]}]}],["$","span",null,{"children":["Номер ","428"]}]]}],["$","h1",null,{"children":["Номер 428"," — ГДЗ ","алгебра"," ",7," класс ","Мерзляк"]}],[["$","section","10365",{"children":[false,["$","div",null,{"className":"sheet-card statement","children":[["$","p",null,{"children":["$","b",null,{"children":["№ 428","."]}]}],["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

Докажите тождество (где n – натуральное число):

\n1) 18¹⁶ⁿ = 12⁸ⁿ ∙ 9¹²ⁿ; \n2) 75⁸ⁿ = 225⁴ⁿ ∙ 625²ⁿ. \n

"}}]]}],["$","div",null,{"className":"notice","children":["Разбор этого задания готовится. Пока можно ",["$","a",null,{"href":"/reshit","children":"решить его по фото"}]," — ИИ объяснит по шагам."]}]]}]],["$","p",null,{"children":[["$","a",null,{"href":"/gdz/algebra/7-klass/merzlyak/nomer-427","children":["← ","Номер 427"]}]," · ",["$","a",null,{"href":"/gdz/algebra/7-klass/merzlyak/nomer-429","children":["Номер 429"," →"]}]," · ",["$","a",null,{"href":"/gdz/algebra/7-klass/merzlyak","children":"Все номера"}]]}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"[{\"@context\":\"https://schema.org\",\"@type\":\"Question\",\"name\":\"Алгебра 7 класс Мерзляк, номер 428\",\"text\":\"Докажите тождество (где n – натуральное число): 1) 1816n = 128n ∙ 912n; 2) 758n = 2254n ∙ 6252n.\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Ответ: 1) Верно: 18^(16n) = 12^(8n) · 9^(12n); обе части равны 2^(16n) · 3^(32n)\\n2) Верно: 75^(8n) = 225^(4n) · 625^(2n); обе части равны 3^(8n) · 5^(16n)\"}},{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Главная\",\"item\":\"https://reshay.ai/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"ГДЗ\",\"item\":\"https://reshay.ai/gdz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Алгебра 7 класс Мерзляк\",\"item\":\"https://reshay.ai/gdz/algebra/7-klass/merzlyak\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Номер 428\"}]}]"}}]]

Номер 428 — ГДЗ алгебра 7 класс Мерзляк