Odpowiedź:
⁴√3= 3¹/⁴ ⁵√27= 27¹/⁵= 3³/⁵ 1/⁷√3⁴= 3⁻⁴/⁷
3*⁶√3=3¹*3¹/⁶=3⁷/⁶
Szczegółowe wyjaśnienie:
[tex]a)\ \sqrt[4]{3}=3^\frac{1}{4}\\\\b)\ \sqrt[5]{27}=\sqrt[5]{3^3}=3^\frac{3}{5}\\\\c)\ \frac{1}{\sqrt[7]{3^4}}=\frac{1}{3^\frac{4}{7}}=3^{-\frac{4}{7}}\\\\d)\ 3*\sqrt[6]{3}=3*3^\frac{1}{6}=3^{1+\frac{1}{6}}=3^\frac{7}{6}\\[/tex]
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Odpowiedź:
⁴√3= 3¹/⁴ ⁵√27= 27¹/⁵= 3³/⁵ 1/⁷√3⁴= 3⁻⁴/⁷
3*⁶√3=3¹*3¹/⁶=3⁷/⁶
Szczegółowe wyjaśnienie:
[tex]a)\ \sqrt[4]{3}=3^\frac{1}{4}\\\\b)\ \sqrt[5]{27}=\sqrt[5]{3^3}=3^\frac{3}{5}\\\\c)\ \frac{1}{\sqrt[7]{3^4}}=\frac{1}{3^\frac{4}{7}}=3^{-\frac{4}{7}}\\\\d)\ 3*\sqrt[6]{3}=3*3^\frac{1}{6}=3^{1+\frac{1}{6}}=3^\frac{7}{6}\\[/tex]