11. Вычислите: 6^5 * 5^5 / 30^4

11. $\frac{6^5 \cdot 5^5}{30^4} = \frac{(6 \cdot 5)^5}{30^4} = \frac{30^5}{30^4} = 30^{5-4} = 30^1 = 30$ 12. $h^2 p^3 \cdot 2p^3 x^3 = 2 \cdot h^2 \cdot p^{3+3} \cdot x^3 = 2h^2 p^6 x^3$ 13. $-6.7k^2 n^3 \cdot (-2.4an) = (-6.7 \cdot -2.4) \cdot k^2 \cdot a \cdot n^{3+1} = 16.08ak^2 n^4$ 14. $4\frac{5}{6} f d^3 \cdot 1\frac{1}{2} v^3 d = \frac{29}{6} \cdot \frac{3}{2} \cdot f \cdot v^3 \cdot d^{3+1} = \frac{29 \cdot 3}{6 \cdot 2} f v^3 d^4 = \frac{29}{4} f v^3 d^4 = 7.25 f v^3 d^4$ 15. $(t^2 k^3 m^3)^3 = t^{2\cdot3} k^{3\cdot3} m^{3\cdot3} = t^6 k^9 m^9$ 16. $(\frac{1}{2} x v^3 d)^2 = (\frac{1}{2})^2 x^2 (v^3)^2 d^2 = \frac{1}{4} x^2 v^6 d^2 = 0.25 x^2 v^6 d^2$ 17. $-6n^2 d^3 f^3 \cdot (nd^2)^3 = -6n^2 d^3 f^3 \cdot n^3 d^6 = -6 \cdot n^{2+3} \cdot d^{3+6} \cdot f^3 = -6n^5 d^9 f^3$ 18. $6\frac{2}{3} d f^3 x^3 \cdot (\frac{1}{2} d^2 f^3)^5 = \frac{20}{3} d f^3 x^3 \cdot (\frac{1}{2})^5 (d^2)^5 (f^3)^5 = \frac{20}{3} \cdot \frac{1}{32} \cdot d \cdot f^3 \cdot x^3 \cdot d^{10} \cdot f^{15} = \frac{20}{3 \cdot 32} \cdot d^{1+10} \cdot f^{3+15} \cdot x^3 = \frac{5}{3 \cdot 8} d^{11} f^{18} x^3 = \frac{5}{24} d^{11} f^{18} x^3$