Verified answer

2a) 5x⁴ - 80 = 0

5x⁴ = 80

x⁴ = 16

x₁ = 2        x₂ = - 2

2б) 1/3x³ + 9 = 0

1/3x³ = - 9

x³ = - 27

x = - 3

2в) x¹⁰ + 1 = 0

x¹⁰ = - 1

решений нет

1.

√(0,49) = √(0,7)² = ±0,7,

∛(64) = ∛(4)³ = 4,

∛(-2 10/27) = ∛(-64/27) = ∛(-4/3)³ = -4/3 = -1 1/3,

0,5*⁴√81 = 0,5 * (⁴√(3)⁴) = 0,5 * 3 = 1,5,

⁴√(81/16) + ∛(-1/27) = 3/2 - 1/3 = 9/6 - 2/6 = 7/6 = 1 1/6,

(2∛6)³ = 2³ * (∛6)³ = 8 * 6 = 48,

6 / (3√2)² = 6 / (3²*2) = 6 / 18 = 1/3,

-3∛(-6)³ = -3 * (-6) = 18,

2.

5х⁴ = 80,

х⁴ = 16,

х = ⁴√16,

х = 2,

1/3х³ + 9 = 0,

1/3х³ = -9,

х³ = -9 : 1/3,

х³ = -9 * 3,

х³ = -27,

х = ∛(-27),

х = -3,

х¹⁰ + 1 = 0,

х¹⁰ = -1,

корней нет