1. Фото2.1)[tex]5\sqrt[4]{16} -2\sqrt[3]{-216} -\sqrt[6]{64} = 5*2 - 2*(-6) - 2 = 10 + 12 - 2 = 20[/tex]
2)[tex]\sqrt[3]{8*125} = 2*5 = 10[/tex]
3) [tex]\sqrt[6]{3^{12}*2^{18} } = 3^{2} * 2^{3} = 9 * 8 = 72[/tex]
4) [tex]\frac{\sqrt[4]{3} }{\sqrt[4]{243} } = \sqrt[4]{\frac{3}{243} } = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}[/tex]
3.
1) [tex]x^{3} = 27[/tex]
[tex]x = 3[/tex]
2) [tex]x^{7} = 10[/tex]
[tex]x = \sqrt[7]{10}[/tex]
3) [tex]x^{6} = 64[/tex]
x = ±2
4) [tex]x^{8} = 3[/tex]
x = ±[tex]\sqrt[8]{3}[/tex]
5) [tex]x^{5} = -32[/tex]
[tex]x = -2[/tex]
6) [tex]x^{4} = -16[/tex]
x ∉ R (нет решений)
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Answers & Comments
1. Фото
2.
1)[tex]5\sqrt[4]{16} -2\sqrt[3]{-216} -\sqrt[6]{64} = 5*2 - 2*(-6) - 2 = 10 + 12 - 2 = 20[/tex]
2)[tex]\sqrt[3]{8*125} = 2*5 = 10[/tex]
3) [tex]\sqrt[6]{3^{12}*2^{18} } = 3^{2} * 2^{3} = 9 * 8 = 72[/tex]
4) [tex]\frac{\sqrt[4]{3} }{\sqrt[4]{243} } = \sqrt[4]{\frac{3}{243} } = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}[/tex]
3.
1) [tex]x^{3} = 27[/tex]
[tex]x = 3[/tex]
2) [tex]x^{7} = 10[/tex]
[tex]x = \sqrt[7]{10}[/tex]
3) [tex]x^{6} = 64[/tex]
x = ±2
4) [tex]x^{8} = 3[/tex]
x = ±[tex]\sqrt[8]{3}[/tex]
5) [tex]x^{5} = -32[/tex]
[tex]x = -2[/tex]
6) [tex]x^{4} = -16[/tex]
x ∉ R (нет решений)