484. Выполните умножение: a) 3,5 ⋅ 3m; б) -6ax³ ⋅ 9bx²; в) -8a²b² ⋅ (-8a³b⁵); г) ab ⋅ (-7ab²) ⋅ 4a²b; д) 10x²y ⋅ (-xy²) ⋅ 0,6x³; e) -9ab² ⋅ 3a³ ⋅ (-4b).

Применим протокол Я.

1. a) $$3,5 \cdot 3m = 3,5 \cdot 3 m = 10,5m$$
2. б) $$-6ax^3 \cdot 9bx^2 = -6 \cdot 9 \cdot a \cdot b \cdot x^(3+2) = -54abx^5$$
3. в) $$-8a^2b^2 \cdot (-8a^3b^5) = -8 \cdot (-8) \cdot a^(2+3) \cdot b^(2+5) = 64 a^5 b^7$$
4. г) $$ab \cdot (-7ab^2) \cdot 4a^2b = -7 \cdot 4 \cdot a^(1+1+2) \cdot b^(1+2+1) = -28 a^4 b^4$$
5. д) $$10x^2y \cdot (-xy^2) \cdot 0,6x^3 = 10 \cdot (-1) \cdot 0,6 \cdot x^(2+1+3) \cdot y^(1+2) = -6 x^6 y^3$$
6. e) $$-9ab^2 \cdot 3a^3 \cdot (-4b) = -9 \cdot 3 \cdot (-4) \cdot a^(1+3) \cdot b^(2+1) = 108 a^4 b^3$$

Ответ:

1. 10,5m
2. -54abx⁵
3. 64 a⁵ b⁷
4. -28 a⁴ b⁴
5. -6 x⁶ y³
6. 108 a⁴ b³