Реши примеры на свойства степеней.

Свойства степеней: 1. $x^{-3} \cdot x^{-4} = x^{-3 + (-4)} = x^{-7} = \frac{1}{x^7}$ 2. $x^{-14} \cdot x^{6} = x^{-14 + 6} = x^{-8} = \frac{1}{x^8}$ 3. $x^{10} \cdot x^{-7} = x^{10 + (-7)} = x^{3}$ 4. $x^{-4} \cdot x = x^{-4 + 1} = x^{-3} = \frac{1}{x^3}$ 5. $x^{3} \cdot x^{-2} \cdot x^{-5} = x^{3 + (-2) + (-5)} = x^{-4} = \frac{1}{x^4}$ 6. $x^{-6} \cdot x \cdot x^{5} = x^{-6 + 1 + 5} = x^{0} = 1$ 7. $\alpha^{3} : \alpha^{5} = \alpha^{3 - 5} = \alpha^{-2} = \frac{1}{\alpha^2}$ 8. $\alpha^{-4} : \alpha^{2} = \alpha^{-4 - 2} = \alpha^{-6} = \frac{1}{\alpha^6}$ 9. $\alpha^{-6} : \alpha^{-3} = \alpha^{-6 - (-3)} = \alpha^{-3} = \frac{1}{\alpha^3}$ 10. $\alpha : \alpha^{-4} = \alpha^{1 - (-4)} = \alpha^{5}$ 11. $(y^{-2})^{3} = y^{-2 \cdot 3} = y^{-6} = \frac{1}{y^6}$ 12. $(y^{-4})^{-2} = y^{-4 \cdot (-2)} = y^{8}$ 13. $(y^{-3})^{0} = 1$ **Ответы:** 1. $\frac{1}{x^7}$ 2. $\frac{1}{x^8}$ 3. $x^{3}$ 4. $\frac{1}{x^3}$ 5. $\frac{1}{x^4}$ 6. $1$ 7. $\frac{1}{\alpha^2}$ 8. $\frac{1}{\alpha^6}$ 9. $\frac{1}{\alpha^3}$ 10. $\alpha^{5}$ 11. $\frac{1}{y^6}$ 12. $y^{8}$ 13. $1