Oblicz a)[latex] (frac{1}{4})^{8}:(frac{1}{2})^{8} [/latex] b)[latex] 7^{3}:(2frac{1}{3})^{3} [/latex] c)[latex](3frac{1}{2})^{8}:(1frac{3}{4})^{8} [/latex] d)[latex](1frac{2}{3})^{5}:(2,5)^{5} [/latex]

Rozwiązanie w załączniku

[latex]a) (frac14)^8 :(frac12)^8 = (frac14:frac12)^8 = (frac14*2)^8 = (frac12)^8 =frac1{2^8} = frac1{256}\\b) 7^3:(2frac13)^3 = 7^3:(frac73)^3 = 7^3:frac{7^3}{3^3} = 7^3*frac{3^3}{7^3} = 3^3 = 27\\c) (3frac12)^8:(1frac34)^8 = (frac72:frac74)^8 = (frac72*frac47)^8 = 2^8 = 256\\d) (1frac23)^5:(2,5)^5 = (frac53:frac{25}{10})^5 = (frac53*frac{10}{25})^5 = (frac53*frac25)^5 = (frac23)^5 = \\=frac{2^5}{3^5} = frac{32}{243}[/latex]