Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 116

Учебник по алгебре 8 класс. Авторы: Макарычев, Миндюк, Нешков.

Тип: ГДЗ, Решебник.
Авторы: Макарычев Ю.Н., Миндюк Н.Г., Нешков К.И.
Часть: без частей.
Год: 2019-2024.

Серия: Школа России (ФГОС).
Издательство: Просвещение.

Автор

Материал подготовила:

Екатерина Шамрай

Отличается задание? Переключите год учебника.

2019 2024

Номер 116.

Упростите выражение:

а) 2a²b/3xy ⋅ 3x²y/4ab² ⋅ 6ax/15b²
б) 6m³n²/35p³ ⋅ 49n⁴/m⁵p³ ⋅ 5m⁴p²/42n⁶

Ответ:

а) 2a²b/3xy ⋅ 3x²y/4ab² ⋅ 6ax/15b² = 2a²b ⋅ 3x²y ⋅ 6ax/3xy ⋅ 4ab² ⋅ 15b² = 2a²b ⋅ 3x²y ⋅ 2 ⋅ 3ax : (2 ⋅ 2 ⋅ 3 ⋅ 3abxy)/3xy ⋅ 4ab² ⋅ 5 ⋅ 3b² : (2 ⋅ 2 ⋅ 3 ⋅ 3abxy) = a²x²/5b³
б) 6m³n²/35p³ ⋅ 49n⁴/m⁵p³ ⋅ 5m⁴p²/42n⁶ = 6m³n² ⋅ 49n⁴ ⋅ 5m⁴p²/35p³ ⋅ m⁵p³ ⋅ 42n⁶ = 6m⁷n⁶ ⋅ 7 ⋅ 7 ⋅ 5p²/7 ⋅ 5 ⋅ p⁶ ⋅ m⁵ ⋅ 7 ⋅ 6 ⋅ n⁶ = 6m⁷n⁶ ⋅ 7 ⋅ 7 ⋅ 5p² : (6 ⋅ 7 ⋅ 7 ⋅ 5 ⋅ m⁵n⁶p²)/7 ⋅ 5 ⋅ p⁶ ⋅ m⁵ ⋅ 7 ⋅ 6 ⋅ n⁶ : (6 ⋅ 7 ⋅ 7 ⋅ 5 ⋅ m⁵n⁶p²) = m²/p⁴