3.
1) (-5k³)³ : ( -10k⁸)² = -5³k⁹ * 9²t¹⁴ = -5³ * 3⁴ t⁸ =
(3t² ) ( 9t⁷ ) 3³t⁶ 10²k¹⁶ 3³ * 5² * 2² k⁷
= -5 *3 t⁸ = -15t⁸
2² k⁷ 4k⁷
2) a³ -1 * a² -1 = (a-1)(a²+a+1) * (a-1)(a+1) = (a-1)²
a+1 a²+a+1 a+1 a²+a+1
4.
1 - 4x = 4x²
x-2 x+2 4-x²
ОДЗ: х≠2 х≠ -2
1 - 4x = -4x²
x-2 x+2 x²-4
x+2 -4x(x-2)= -4x²
x+2-4x²+8x= -4x²
-4x² +4x²+9x+2=0
9x=-2
x= -2/9
Ответ: -2/9
5. b⁵ * x² = a/b
9a³
x² = a : b⁵
b 9a³
x² = a *9a³
b* b⁵
x² = 9a⁴
b⁶
x = |3a²|
| b³ |