5. Упростите выражение: 1) 2a³ · (−5a⁴b⁵)²; 2) (−x⁶y)³ · 11x⁴y⁵; 3) (−0,6a³b⁵c⁶)² · 3a²c⁸; 4) −1 3/11 m⁴n⁹ · (−1/7 mn³)²; 5) 1 7/9 x⁷y² · (3/4 x²y⁹)⁴; 6) −(−2c²d⁵)⁷ · (−1/2 c⁴d⁵)⁴.

Question

Вопрос:

Accepted Answer

\(2a^3\cdot(-5a^4b^5)^2=2a^3\cdot25a^8b^{10}=50a^{11}b^{10}\).
\((-x^6y)^3\cdot11x^4y^5=-x^{18}y^3\cdot11x^4y^5=-11x^{22}y^8\).
\((-0.6a^3b^5c^6)^2\cdot3a^2c^8=0.36a^6b^{10}c^{12}\cdot3a^2c^8=1.08a^8b^{10}c^{20}\).
\(-1\dfrac3{11}m^4n^9\cdot\left(-\dfrac17mn^3\right)^2=-\dfrac{14}{11}m^4n^9\cdot\dfrac1{49}m^2n^6=-\dfrac2{77}m^6n^{15}\).
\(1\dfrac79x^7y^2\cdot\left(\dfrac34x^2y^9\right)^4=\dfrac{16}{9}x^7y^2\cdot\dfrac{81}{256}x^8y^{36}=\dfrac9{16}x^{15}y^{38}\).
\(-(-2c^2d^5)^7\cdot\left(-\dfrac12c^4d^5\right)^4=128c^{14}d^{35}\cdot\dfrac1{16}c^{16}d^{20}=8c^{30}d^{55}\).

Ответ: