a)
[tex]7^5 * 7^8 : 7^{11} = 7^2 = 49[/tex]
[tex]3^6 *3^2 : 3^5 = 3^3 = 27[/tex]
[tex](-3) *[(-3)^{12} : (-3)^9] = (-3) * (-3)^3 = (-3)^4 = 81[/tex]
[tex]2^3 * 2^2 * 2^4 = 2^9 = 512[/tex]
[tex](-5)^{10} : (-5)^3 : (-5)^2 = (-5)^5 = -3125[/tex]
[tex][(-7)*(-7)^5]: [(-7)^2 *(-7)] = (-7)^6 : (-7)^3 = (-7)^3 = -343[/tex]
b)
[tex](-\frac{2}{3})^{10} : (-\frac{2}{3})^5 : (-\frac{2}{3})^2 = (-\frac{2}{3})^3 = -\frac{8}{27}[/tex]
[tex]1,2^3 : 1,2^2 * 1,2 = 1,2^2 = 1,44[/tex]
[tex](5,1^3 * 5,1^4) : (5,1^{12} : 5,1^7) = 5,1^7 : 5,1^5 = 5,1^2 = 26,01[/tex]
[tex][(-\frac{1}{2})^8 : (-\frac{1}{2})^7] * (-\frac{1}{2})^4 = (-\frac{1}{2}) * (-\frac{1}{2})^4 = (-\frac{1}{2})^5 = -\frac{1}{32}[/tex]
[tex](1\frac{1}{2}) ^6 * (1\frac{1}{2})^3 : (1\frac{1}{2})^5 = (1\frac{1}{2})^4 = (\frac{3}{2})^4 = \frac{81}{16} = 5 \frac{1}{16}[/tex]
[tex](-0,8) * [(-0,8)^{11} : (-0,8)^9] = (-0,8) * (-0,8)^2 = (-0,8)^3 = -0,512[/tex]
c)
[tex]\frac{(-4)^2 *(-4)^{10}}{(-4)^6 *(-4)^3} = \frac{(-4)^{12}}{(-4)^9} = (-4)^3 = -64[/tex]
[tex]\frac{( 1\frac{1}{2})^6 * [( 1\frac{1}{2})^7 : ( 1\frac{1}{2})^5]}{( 1\frac{1}{2})^2 *( 1\frac{1}{2})^3} = \frac{( 1\frac{1}{2})^6 * ( 1\frac{1}{2})^2 }{( 1\frac{1}{2})^5} = \frac{( 1\frac{1}{2})^8}{( 1\frac{1}{2})^2} = ( 1\frac{1}{2})^6 = ( \frac{3}{2})^6 = \frac{729}{64} = 11 \frac{25}{64}[/tex]
