![\sqrt{0,49}=\sqrt{0,7^{2}}=0,7\\\\\sqrt[3]{64}=\sqrt[3]{4^{3}}=4\\\\\sqrt[3]{-2\frac{10}{27}}=-\sqrt[3]{\frac{64}{27}}=-\sqrt[3]{(\frac{4}{3})^{3}}=\frac{4}{3}=1\frac{1}{3}\\\\0,5\sqrt[4]{81}=0,5\sqrt[4]{3^{4} }=0,5*4=2\\\\\sqrt[4]{\frac{81}{16}}+\sqrt[3]{-\frac{1}{27}}=\sqrt[4]{(\frac{3}{2})^{4}}-\sqrt[3]{(\frac{1}{3})^{3}}=\frac{3}{2}-\frac{1}{3}=\frac{9-2}{6}=\frac{7}{6}=1\frac{1}{6}](/tpl/images/0813/0281/2f79c.png)
![(2\sqrt[3]{6} )^{3}=2^{3}*6=8*6=48\\\\\frac{6}{(3\sqrt{2})^{2}}=\frac{6}{9*2}=\frac{1}{3}\\\\-3\sqrt[3]{(-6)^{3}} =-3*(-6)=18](/tpl/images/0813/0281/0db88.png)
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
