Вычислите (-1/9)⁻⁴ · (2/3)⁻³ : (6 3/4)⁻²

1. Преобразуем числа: (-1/9)⁻⁴ = 9⁴, (2/3)⁻³ = (3/2)³, 6 3/4 = 27/4.
2. 9⁴ · (3/2)³ : (27/4)⁻² = 9⁴ · (3/2)³ · (4/27)².
3. 9⁴ · (27/8) · (16/729) = 6561 · (27/8) · (16/729) = 6561 · (27 · 16) / (8 · 729) = 6561 · 432 / 5832 = 6561 · (2/27) = 243 · 2 = 486.