[latex]1) frac{4cdot3^{2}}{2^{4}} = frac{4cdot9}{16} = frac{9}{4} = 2frac{1}{4}[/latex] [latex]2) frac{(-2)^{4}}{3^{2}} = frac{16}{9} = 1frac{7}{9}[/latex] [latex]3) (-10)^{2} cdot(-0,1)^{3} = 100cdot(-0,001) = - 0,1[/latex] [latex]4) frac{(-3)^{3}}{2^{3}} = frac{-27}{8} = - 3 frac{3}{8}[/latex] [latex]5) (-frac{1}{2})^{2} + (-1frac{1}{2})^{2} + (-2frac{1}{2})^{2} = frac{1}{4} + (-frac{3}{2})^{2} + (-frac{5}{2})^{2} = frac{1}{4} + frac{9}{4} + frac{25}{4} = frac{35}{4} = 8frac{3}{4}[/latex] [latex]6) [(2-3)^{2} + (-1)^{5}]^{2} = [(-1)^{2} + (-1)]^{2} = (1 - 1)^{2} = 0^{2} = 0[/latex] 1. T [latex](-1frac{1}{2})^{7}cdot(-1frac{1}{2}) : (-1frac{1}{2})^{6} = (-1frac{1}{2})^{7+1-6} = (-frac{3}{2})^{2} = frac{9}{4} = 2frac{1}{4}[/latex] 2. L [latex]frac{(frac{1}{4})^{8}cdot8^{4}}{(frac{1}{4})^{7}cdot8^{3}} = (frac{1}{4})^{8-7}cdot8^{4-3} = frac{1}{4}cdot8 = 2[/latex] 3. O [latex]frac{(-0,1)^{7}cdot(-0,1)^{2}}{(0,1)cdot(0,1)^{4}} = frac{(-0,1)^{9}}{(0,1)^{9}} = -1[/latex] 4. I [latex]frac{(-0,2)^{3}cdot(-0,2)^{4}cdot(-0,2)^{5}}{(-0,2)^{8}cdot(-0,2)^{4}} = frac{(-0,2)^{12}}{(-0,2)^{12}} = 1[/latex] 5. E [latex]frac{5^{8}cdot(0,1)^{7}}{5^{6}cdot(0,1)^{4}} = 5^{2}cdot(0,1)^{3} = 25cdotfrac{1}{1000} = frac{25}{1000} = frac{1}{40}[/latex] 6. W [latex](-1frac{1}{2})^{5}cdot(-1frac{1}{2})^{8}:(1frac{1}{2})^{11} = (-1frac{1}{2})^{13}:(1frac{1}{2})^{11} = -(1frac{1}{2})^{2} = - (frac{3}{2})^{2} = -frac{9}{4} = -2frac{1}{4}[/latex] Hasło: WITELO (mnich oraz polski fizyk, matematyk i filozof żyjący w XIII w.)
