0,25∧(х-1)=8
25/100∧(х-1)=2³
1/4∧(х-1)=2³
1/2²∧(х-1)=2³
2⁻²∧(х-1)=2³
2∧(2-2х)=2³
2-2х=3
2х=2-3
2х=-1
х=- 1/2=-0,5
2) (6x²-x-1)/(9x²-1)=((2x-1)(3x-1))/((3x-1)(3x+1)=(2х-1)(3х+1)
рассмотрим 6x²-x-1
D=1+4*6=25
x=(1+5)/12=1/2
x=(1-5)/12=1/3
6x²-x-1=6(x-1/2)(x-1/3)=2(x-1/2)3(x-1/3)=(x-2)(x-3)
Ответ: (2х-1)(3х+1)
Прости, №4 не могу сказать
((1/5)^2)^(-3/2) * ((1/2)^3)^(-4/3) - ((1/11)^2)^(-1/2) = (1/5)^(-3) * (1/2)^(-4)- (1/11)^(-1)=
=(5^3) * (2^4) - 11 = 125*16 - 11 = 1989