Задание 2. Упростите выражение: а) n√3535; 6) (27a6).

Задание 2.

а) \(\frac{\sqrt[n]{3^5}}{(\sqrt[n]{3})^{-5}} ⋅ 3^\(\frac{5}{n}\) = \(\frac{3^{\frac{5}{n}}}{3^{-\frac{5}{n}}} ⋅ 3^{\frac{5}{n}}\) = 3^{\frac{5}{n} + \frac{5}{n} + \frac{5}{n}}\) = 3^{\frac{15}{n}}

б) (27a⁶)^{\(\frac{1}{3}\)} = (3³a⁶)^{\(\frac{1}{3}\)} = 3a²