Zad. 1 a) [latex]-2^{5}=-32[/latex] [latex](-2)^{-5}=-frac{1}{32}[/latex] [latex]2^{-5}=frac{1}{32}[/latex] b) [latex](frac{1}{3})^{-2}=9[/latex] [latex](-frac{1}{3})^{-2}=9[/latex] [latex](-frac{1}{3})^{-3}=-27[/latex] c) [latex]sqrt{3}^{4} = 9[/latex] [latex]sqrt{3}^{-2}=frac{1}{3}[/latex] [latex]sqrt{3}^{-6}=frac{1}{27}[/latex] d) [latex]sqrt{2}^{6}=8[/latex] [latex]sqrt{2}^{7}=8sqrt{2}[/latex] [latex]sqrt{2}^{-8}=frac{1}{16}[/latex] Zad. 2 a) [latex]6^{-3} * 6^{5} = 6^{2} = 36[/latex] b) [latex]4^{-8} * 4^{6} = 4^{-2} = frac{1}{16}[/latex] c) [latex]0,5^{-4} * 0,5^{-1} = 0,5^{-5} = 32[/latex] d) [latex]frac{2}{3}^{2} * frac{2}{3}^{-5} = frac{2}{3}^{-3} = frac{27}{8}[/latex] e) [latex]5^{7} : 5^{10} = 5^{-3} = frac{1}{125}[/latex] f) [latex]7^{-4} : 7^{-6} = 7^{2} = 49[/latex] g) [latex](frac{3}{4})^{-5} : (frac{3}{4})^{-3} = (frac{3}{4})^{-2} = frac{16}{9}[/latex] h) [latex](frac{3}{8})^{7} : (frac{3}{8})^{8} = (frac{3}{8})^{-1} = frac{8}{3}[/latex][latex](frac{3}{8})^{7} : (frac{3}{8})^{8} = (frac{3}{8})^{-1} = frac{8}{3}[/latex] Zad. 1 a) [latex]6320000 = 6,32 * 10^{6}[/latex] b) [latex]109000000 = 1,09 * 10^{8}[/latex] c) [latex]43,728 = 4,3728 * 10[/latex] d) [latex]8765,2 = 8,7652 * 10^{3}[/latex] e) [latex]0,00065 = 6,5 * 10^{-4}[/latex] f) [latex]0,00302=3,2 * 10^{-3}[/latex] g) [latex]0,100324=1,00324 * 10^{-1}[/latex] h) [latex]0,000001=1 * 10^{-6}[/latex] Zad. 2 a) 1600 - 100% x - 102% x= [latex]frac{1600 * 102}{100}[/latex] = 1632 b) 320 - 100% x - 85% x= [latex]frac{320 * 85}{100}[/latex] = 272 c) 180 - 100% x - 130% x= [latex]frac{180 * 130}{100}[/latex] = 234 d) 3 - 100% x - 25% x=[latex]frac{3 * 25}{100} = frac{75}{100}=frac{3}{4}[/latex] e) 5,5 - 100% x - 160% x=[latex]frac{5,5 * 160}{100}[/latex] = 8,8 f) 70 - 100% x - 320% x= [latex]frac{70 * 320}{100}[/latex] = 224
