Пошаговое объяснение:
(n⁵)² * (n³)³ * n¹⁰ : n⁸ = n¹⁰ * n⁹ * n¹⁰ : n⁸ =
n^(10 + 9 + 10 - 8) = n²¹
2a-² * 3a⁴ = (2 * 3) * a-² * a⁴ = 6 * a² = 6a²
24a⁵ : 6a-³ = (24 : 6) * a⁵ : a-³ = 4 * a⁸ = 4a⁸
125(5a-³b³)-² * a-²b⁴ = 5³ * 5-² * a⁶ * b-⁶ * a-² * b⁴ =
5¹ * a⁴ * b-² = 5a⁴b-² = 5a⁴ * 1/(b²) = 5a⁴/b²
(2/3 * ab²)³ = (2/3)³ * a³ * b⁶ = 8/27a³b⁶
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Пошаговое объяснение:
(n⁵)² * (n³)³ * n¹⁰ : n⁸ = n¹⁰ * n⁹ * n¹⁰ : n⁸ =
n^(10 + 9 + 10 - 8) = n²¹
2a-² * 3a⁴ = (2 * 3) * a-² * a⁴ = 6 * a² = 6a²
24a⁵ : 6a-³ = (24 : 6) * a⁵ : a-³ = 4 * a⁸ = 4a⁸
125(5a-³b³)-² * a-²b⁴ = 5³ * 5-² * a⁶ * b-⁶ * a-² * b⁴ =
5¹ * a⁴ * b-² = 5a⁴b-² = 5a⁴ * 1/(b²) = 5a⁴/b²
(2/3 * ab²)³ = (2/3)³ * a³ * b⁶ = 8/27a³b⁶