3. Выполните действия: 1) 0,5a3b4 · 3b5a2 2) -12m³n9: 6m²n6 3) (2x2c3)3 4) ab². (-2b4c8) 5) -25a5b4c²:5a²b²c² 6) 8a - 6a 7) -p9 - 3p9 8) 5x²y³ + 4x²y3 - 3x²y3 9) 9,5xz + 3,5xz - 11xz 10)-5,2ck + 4,8ck - 2ck

3. Выполните действия:

1. $$0,5a^3b^4 \cdot 3b^5a^2 = (0,5 \cdot 3) \cdot (a^3 \cdot a^2) \cdot (b^4 \cdot b^5) = 1,5a^{3+2}b^{4+5} = 1,5a^5b^9$$

   Ответ: $$1,5a^5b^9$$

2. $$-12m^3n^9: 6m^2n^6 = \frac{-12m^3n^9}{6m^2n^6} = \frac{-12}{6} \cdot \frac{m^3}{m^2} \cdot \frac{n^9}{n^6} = -2m^{3-2}n^{9-6} = -2mn^3$$

   Ответ: $$-2mn^3$$

3. $$(2x^2c^3)^3 = 2^3 \cdot (x^2)^3 \cdot (c^3)^3 = 8x^{2 \cdot 3}c^{3 \cdot 3} = 8x^6c^9$$

   Ответ: $$8x^6c^9$$

4. $$ab^2 \cdot (-2b^4c^8) = -2 \cdot a \cdot (b^2 \cdot b^4) \cdot c^8 = -2ab^{2+4}c^8 = -2ab^6c^8$$

   Ответ: $$-2ab^6c^8$$

5. $$-25a^5b^4c^2:5a^2b^2c^2 = \frac{-25a^5b^4c^2}{5a^2b^2c^2} = \frac{-25}{5} \cdot \frac{a^5}{a^2} \cdot \frac{b^4}{b^2} \cdot \frac{c^2}{c^2} = -5a^{5-2}b^{4-2}c^{2-2} = -5a^3b^2c^0 = -5a^3b^2$$

   Ответ: $$-5a^3b^2$$

6. $$8a - 6a = (8-6)a = 2a$$

   Ответ: $$2a$$

7. $$-p^9 - 3p^9 = (-1-3)p^9 = -4p^9$$

   Ответ: $$-4p^9$$

8. $$5x^2y^3 + 4x^2y^3 - 3x^2y^3 = (5+4-3)x^2y^3 = 6x^2y^3$$

   Ответ: $$6x^2y^3$$

9. $$9,5xz + 3,5xz - 11xz = (9,5+3,5-11)xz = (13-11)xz = 2xz$$

   Ответ: $$2xz$$

10. $$-5,2ck + 4,8ck - 2ck = (-5,2 + 4,8 - 2)ck = (-0,4 - 2)ck = -2,4ck$$

    Ответ: $$-2,4ck$$