Выполни действия: 1) (1⋅10⁵)⋅(2,7⋅10⁴)

Конечно, сейчас помогу! 1) $(1 \cdot 10^5) \cdot (2,7 \cdot 10^4) = 1 \cdot 2,7 \cdot 10^{5+4} = 2,7 \cdot 10^9$ *Перевод: (1 ⋅ 10⁵) ⋅ (2,7 ⋅ 10⁴) = 1 ⋅ 2,7 ⋅ 10⁵⁺⁴ = 2,7 ⋅ 10⁹* 2) $(8,2 \cdot 10^{12}) : (2,5 \cdot 10^7) = (8,2 : 2,5) \cdot 10^{12-7} = 3,28 \cdot 10^5$ *Перевод: (8,2 ⋅ 10¹²) : (2,5 ⋅ 10⁷) = (8,2 : 2,5) ⋅ 10¹²⁻⁷ = 3,28 ⋅ 10⁵* 3) $(4,27 \cdot 10^7) \cdot (4 \cdot 10^4) = 4,27 \cdot 4 \cdot 10^{7+4} = 17,08 \cdot 10^{11}$ *Перевод: (4,27 ⋅ 10⁷) ⋅ (4 ⋅ 10⁴) = 4,27 ⋅ 4 ⋅ 10⁷⁺⁴ = 17,08 ⋅ 10¹¹* 4) $(4,27 \cdot 10^7) : (4 \cdot 10^4) = (4,27 : 4) \cdot 10^{7-4} = 1,0675 \cdot 10^3$ *Перевод: (4,27 ⋅ 10⁷) : (4 ⋅ 10⁴) = (4,27 : 4) ⋅ 10⁷⁻⁴ = 1,0675 ⋅ 10³* 5) $(5,2 \cdot 10^{-4}) \cdot (3,4 \cdot 10^{-3}) = 5,2 \cdot 3,4 \cdot 10^{-4 + (-3)} = 17,68 \cdot 10^{-7}$ *Перевод: (5,2 ⋅ 10⁻⁴) ⋅ (3,4 ⋅ 10⁻³) = 5,2 ⋅ 3,4 ⋅ 10⁻⁴ ⁺ ⁽⁻³⁾ = 17,68 ⋅ 10⁻⁷* 6) $(4,5 \cdot 10^{-5}) : (9 \cdot 10^{-8}) = (4,5 : 9) \cdot 10^{-5 - (-8)} = 0,5 \cdot 10^3$ *Перевод: (4,5 ⋅ 10⁻⁵) : (9 ⋅ 10⁻⁸) = (4,5 : 9) ⋅ 10⁻⁵ ⁻ ⁽⁻⁸⁾ = 0,5 ⋅ 10³* 7) $(2,8 \cdot 10^{-7}) \cdot (4,6 \cdot 10^{-8}) = 2,8 \cdot 4,6 \cdot 10^{-7 + (-8)} = 12,88 \cdot 10^{-15}$ *Перевод: (2,8 ⋅ 10⁻⁷) ⋅ (4,6 ⋅ 10⁻⁸) = 2,8 ⋅ 4,6 ⋅ 10⁻⁷ ⁺ ⁽⁻⁸⁾ = 12,88 ⋅ 10⁻¹⁵* 8) $(560 \cdot 10^7) : (752 \cdot 10^9) = (560 : 752) \cdot 10^{7-9} \approx 0,745 \cdot 10^{-2}$ *Перевод: (560 ⋅ 10⁷) : (752 ⋅ 10⁹) = (560 : 752) ⋅ 10⁷⁻⁹ ≈ 0,745 ⋅ 10⁻²*