Simplify the radical expression. \( \frac{\sqrt{24}-\sqrt{27}}{\sqrt{12}-\sqrt{3}} \)

Calcule \( \log_{5}(125) \) usando a propriedade da mudança de base.

Write the equation in exponential form. \[ \ln 1=0 \] The equation in exponential form is \( \square . ~ \)

Simplify the expression without using a calculator. \( \ln e^{2}=\square \)

7. Исследуйте но чётность и нечетность функции а) \( \mathrm{y}=4 \mathrm{x}-2 \mathrm{x}^{3}+6 \mathrm{x}^{5} \quad \); б) \( f(x)=\frac{5}{x^{4}+4 x^{2}} \)

20. Vereinfache im Kopf. \( \begin{array}{lll}\text { a) }\left(5^{\frac{4}{5}}\right)^{\frac{5}{2}} & \text { b) }\left(36^{\frac{3}{4}}\right)^{\frac{2}{3}} & \text { c) }\left(49^{-\frac{6}{7}}\right)^{\frac{7}{12}}\end{array} \)