71. Упростите выражение: 1) 4a⁴•(-2a³b²)²; 2) (-x⁵y)³•6x³y²; 3) (-0,3a⁴bc³)⁵•5a²c⁶;

• 1) $$4a^4 \cdot (-2a^3b^2)^2 = 4a^4 \cdot ((-2)^2 \cdot (a^3)^2 \cdot (b^2)^2) = 4a^4 \cdot (4a^6b^4) = 16a^{4+6}b^4 = 16a^{10}b^4$$.
• 2) $$(-x^5y)^3 \cdot 6x^3y^2 = ((-1)^3 \cdot (x^5)^3 \cdot y^3) \cdot 6x^3y^2 = (-x^{15}y^3) \cdot 6x^3y^2 = -6x^{15+3}y^{3+2} = -6x^{18}y^5$$.
• 3) $$(-0.3a^4bc^3)^5 \cdot 5a^2c^6 = ((-0.3)^5 \cdot (a^4)^5 \cdot b^5 \cdot (c^3)^5) \cdot 5a^2c^6 = (-0.00243a^{20}b^5c^{15}) \cdot 5a^2c^6 = -0.01215a^{20+2}b^5c^{15+6} = -0.01215a^{22}b^5c^{21}$$.

Ответ:

• 1) $$16a^{10}b^4$$
• 2) $$-6x^{18}y^5$$
• 3) $$-0.01215a^{22}b^5c^{21}$$