2.
a) \(x^3y^3(2x^2y^2)^4=16x^{11}y^{11}\)
b) \((2b^2c^4)^3(3abc)^3=216a^3b^9c^{15}\)
c) \(\dfrac{x^{25}}{x^{20}}(x^2y^4)^5=x^{15}y^{20}\)
3.
a) \(2x^2-128=0 \Rightarrow x^2=64 \Rightarrow x=\pm8\)
b) \(x^2-35x=0 \Rightarrow x(x-35)=0 \Rightarrow x=0;\ 35\)
c) \(\dfrac{x^2}{6}-1=0 \Rightarrow x^2=6 \Rightarrow x=\pm\sqrt6\)
4.
a) \(x^2-6x-7=0,\ D=64 \Rightarrow x=7;\ -1\)
b) \(x^2+4x-5=0,\ D=36 \Rightarrow x=1;\ -5\)
c) \(2x^2-15x+18=0,\ D=81 \Rightarrow x=6;\ 1{,}5\)
5. \(0<a<1 \Rightarrow a>a^2>a^3\): \(\;a,\ a^2,\ a^3\)
6. \(-1<a<0 \Rightarrow a^2>0,\ a^3>a\): \(\;a^2,\ a^3,\ a\)
