4) $$\frac{-1}{3}m^3n^8 \cdot (-\frac{1}{5}mn^4)^2 = \frac{-1}{3}m^3n^8 \cdot \frac{1}{25}m^2n^8 = -\frac{1}{75}m^5n^{16}$$
Ответ: $$\frac{-1}{75}m^5n^{16}$$
5) $$\frac{7}{9}a^7b^2 \cdot (\frac{3}{4}a^2b)^3 = \frac{7}{9}a^7b^2 \cdot \frac{27}{64}a^6b^3 = \frac{7 \cdot 3}{64}a^{13}b^5 = \frac{21}{64}a^{13}b^5$$
Ответ: $$\frac{21}{64}a^{13}b^5$$
6) $$(-3a^2b^3)^6 \cdot (-\frac{1}{3}a^5b^4)^3 = 729a^{12}b^{18} \cdot (-\frac{1}{27}a^{15}b^{12}) = -27a^{27}b^{30}$$
Ответ: $$-27a^{27}b^{30}$$