4. Вычислите: a) $$\frac{27^3 \cdot 3^4}{3^{10}}=$$ б) $$\frac{5^5 \cdot 6^5}{30^3} = $$

a) $$\frac{27^3 \cdot 3^4}{3^{10}} = \frac{(3^3)^3 \cdot 3^4}{3^{10}} = \frac{3^9 \cdot 3^4}{3^{10}} = \frac{3^{9+4}}{3^{10}} = \frac{3^{13}}{3^{10}} = 3^{13-10} = 3^3 = 27$$ Ответ: 27 б) $$\frac{5^5 \cdot 6^5}{30^3} = \frac{5^5 \cdot 6^5}{30^3} = \frac{(5 \cdot 6)^5}{30^3} = \frac{30^5}{30^3} = 30^{5-3} = 30^2 = 900$$ Ответ: 900