71. Упростите выражение: 1) 2x⁹ ⋅ (-4a²x³) ²; 2) (-a³b⁶) ⁵ ⋅ 5ab⁴; 3) (-0,2m³np⁴)² ⋅ 25mn³p; 4) -1$$\frac{2}{3}$$a³b⁶ ⋅ (-$$\frac{3}{5}$$a²b)³; 5) 3$$\frac{1}{2}$$x⁴y ⋅ ($$\frac{4}{7}$$x²y³)²; 6) (-$$\frac{1}{3}$$a⁵b⁹)³ ⋅ (-3ab)⁴.

1) $$2x^9 \cdot (-4a^2x^3)^2 = 2x^9 \cdot 16a^4x^6 = 32a^4x^{15}$$ 2) $$(-a^3b^6)^5 \cdot 5ab^4 = -a^{15}b^{30} \cdot 5ab^4 = -5a^{16}b^{34}$$ 3) $$(-0.2m^3np^4)^2 \cdot 25mn^3p = 0.04m^6n^2p^8 \cdot 25mn^3p = m^7n^5p^9$$ 4) $$-1\frac{2}{3}a^3b^6 \cdot (-\frac{3}{5}a^2b)^3 = -\frac{5}{3}a^3b^6 \cdot (-\frac{27}{125}a^6b^3) = \frac{5}{3} \cdot \frac{27}{125} a^9b^9 = \frac{9}{25}a^9b^9$$ 5) $$3\frac{1}{2}x^4y \cdot (\frac{4}{7}x^2y^3)^2 = \frac{7}{2}x^4y \cdot \frac{16}{49}x^4y^6 = \frac{7 \cdot 16}{2 \cdot 49} x^8y^7 = \frac{8}{7}x^8y^7$$ 6) $$(-\frac{1}{3}a^5b^9)^3 \cdot (-3ab)^4 = -\frac{1}{27}a^{15}b^{27} \cdot 81a^4b^4 = -\frac{81}{27}a^{19}b^{31} = -3a^{19}b^{31}$$ Ответы: 1) $$32a^4x^{15}$$ 2) $$-5a^{16}b^{34}$$ 3) $$m^7n^5p^9$$ 4) $$\frac{9}{25}a^9b^9$$ 5) $$\frac{8}{7}x^8y^7$$ 6) $$-3a^{19}b^{31}$$