1) -(5а)³ × (-4а) = (5а)³ × 4а = 125а³ × 4а = 500а⁴
2) (-a)⁵ × (-a)⁴ = (-a)⁹ = -a⁹
3) a¹⁸b⁹c²⁷a⁶b¹⁴c⁴ = a²⁴b²³c³¹
4) a⁵⁰b⁴⁵c⁴⁰a³⁶b³²c³² = a⁸⁶b⁷⁷c⁷²
5) 2.5² × a¹⁴ × 16a⁴⁴ = (5/2)² × a¹⁴ × 16a⁴⁴ = 25/4 a¹⁴ × 16a⁴⁴ (16 и 4 сокращаем) = 25a¹⁴ × 4a⁴⁴ = 100a⁵⁸
6) (2a²b)² × (-(2ab²)³) = -4a⁴b² × 8a³b⁶ = -32a⁷b⁸
7) 512a³ × 5a⁴ × 2a⁷ = 5120a¹⁴
8) a³b³c⁹a⁴b¹²c⁴a¹⁵b⁵c⁵ = a²²b²⁰c¹⁸
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Answers & Comments
1) -(5а)³ × (-4а) = (5а)³ × 4а = 125а³ × 4а = 500а⁴
2) (-a)⁵ × (-a)⁴ = (-a)⁹ = -a⁹
3) a¹⁸b⁹c²⁷a⁶b¹⁴c⁴ = a²⁴b²³c³¹
4) a⁵⁰b⁴⁵c⁴⁰a³⁶b³²c³² = a⁸⁶b⁷⁷c⁷²
5) 2.5² × a¹⁴ × 16a⁴⁴ = (5/2)² × a¹⁴ × 16a⁴⁴ = 25/4 a¹⁴ × 16a⁴⁴ (16 и 4 сокращаем) = 25a¹⁴ × 4a⁴⁴ = 100a⁵⁸
6) (2a²b)² × (-(2ab²)³) = -4a⁴b² × 8a³b⁶ = -32a⁷b⁸
7) 512a³ × 5a⁴ × 2a⁷ = 5120a¹⁴
8) a³b³c⁹a⁴b¹²c⁴a¹⁵b⁵c⁵ = a²²b²⁰c¹⁸