- Calculen las siguientes potencia 1) \( \left(\frac{1}{3}\right)^{-2}= \) 2) \( \left(-\frac{3}{2}\right)^{-3}= \) 3) \( 0,1^{2}= \) 4) \( (-0,2)^{8}= \)

2. \( \frac{1}{\sqrt{3}+\sqrt{2}} \div \frac{1}{\sqrt{4}+\sqrt{3}} \div \frac{1}{\sqrt{5}+\sqrt{4}}= \) ?

Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.) \[ (1,7) \text { and }(2,12) \]

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

Find \( \|\mathbf{v}\| \). \( \mathbf{v}=-3 \mathbf{i}+7 \mathbf{j} \) \( \begin{array}{l}\|\mathbf{v}\|=\square \\ \text { (Simplify your answer. Type an exact answer, using radicals as needed.) }\end{array} \)

Using the change of base formula, express \( \log_{2}(8) \) in terms of common logarithm.