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Ответы
1. a) 3² = 9
b) (-0,3)³ = -0.027
c) 3,6⁴ = 167,9616
d) 13² = 169
e) (-7)⁶ = 117649
2. a) 3³ * (0,1)³ + 10³ * (-0,2)³ = 27 * 0,001 + 1000 * (-0,008) = 0.027 - 8 = -7,973
b) 10⁴ * (0,3)⁴ + 4³ * (-0,1)³ = 10000 * 0,0081 + 64 * (-0,001) = 81 - 0,064 = 80,936
3. a) 2³ * 2⁴ = 2⁷
b) 8 * 8³ * 8⁶ = 8¹⁰
c) (4a)⁸ * (4a)³ = (4a)¹¹
4. a) 3⁹ : 3² = 3⁷
b) 4¹²:4³:4⁷ = 4²
c) (5x)⁶ : (5x)² = (5x)⁴
5. a) (3²)⁴ = 3⁸
b) (5³)⁶ : 5⁸ = 5¹⁸ : 5⁸ = 5¹⁰
c) (6²)⁵ * (6⁴)⁷ = 6¹⁰ * 6²⁸ = 6³⁸
6. a) (2 * 4)³ = 8³ = 512 или (2 * 4)³ = 2³ * 4³ = 8 * 64 = 512
b) (1,5 * 2)² = 3² = 9 или 1,5² * 2² = 2,25 * 4 = 9
с) (4 * 5)⁴ = 20⁴ = 160 000 или 4⁴ * 5⁴ = 256 * 625 = 160 000
7. a) (2/3)⁴ = 2⁴/3⁴ = 16/81
b) (2a/3b)² = (2a)²/(3b)² = 4a²/9b²
c) (3/7)⁵ = 3⁵/7⁵ = 243/16807