Задание 42. Возведите одночлен в степень (1) (a²)5 - (a²)5. (63)5-010815 2) (x²y²)³= 3) (2m5n³)2 = 4) (4ab4)³ = 5) (-5c3k3)2 = 6) (-3mn²) = 7) (-2xy) = 8) (-4m²n)³= 9) (-2a2b3)5 = 10) (-a)= ay 11) (-5m4n²)2 = 12) (-6q5p3)2 = 2 13) -xy 3 4 3 = 14) (-0,2c2p4)4 = 15)30,467 4 3

Ответ:

1. (a²)⁵ = a¹⁰; (a²)⁵ = a¹⁰; (b³)⁵ = b¹⁵; a¹⁰ * a¹⁰ * b¹⁵ = a²⁰b¹⁵

2. (x²y²)³ = x⁶y⁶

3. (2m⁵n³)2 = 4m¹⁰n⁶

4. (4ab⁴)³ = 64a³b¹²

5. (-5c³k³)2 = 25c⁶k⁶

6. (-3mn²)⁴ = 81m⁴n⁸

7. (-2xy)⁶ = 64x⁶y⁶

8. (-4m²n)³ = -64m⁶n³

9. (-2a²b³)⁵ = -32a¹⁰b¹⁵

10. \(\left(-\frac{1}{3} a^5 y^3\right)^4 = \frac{1}{81} a^{20} y^{12}\)

11. (-5m⁴n²)² = 25m⁸n⁴

12. (-6q⁵p³)² = 36q¹⁰p⁶

13. \(\left(\frac{2}{3} x y^4\right)^3 = \frac{8}{27} x^3 y^{12}\)

14. (-0,2c²p⁴)⁴ = 0,0016c⁸p¹⁶

15. \(\left(-\frac{1}{4} a^3 \cdot 0,4b^7\right)^3 = -0.008 a^9 b^{21}\)

Ответ: