zad. 1 Zapisz liczbę w postaci potęgi o podstawie 7. 7 x [latex] sqrt[5]{7} [/latex] = zad. 2 Oblicz A. [latex]3^{3} [/latex] * [latex]27^{-4} [/latex] = B. [latex]2^{2} [/latex] * [latex]8^{frac{2}{3} } [/latex] = C. [latex] 5^{3} [/latex] * [l

[latex]1. 7^1*7^frac{1}{5} =7^ frac{6}{5} [/latex] zad 2 . a)[latex]27* (frac{1}{27})^4 = frac{1}{19683} [/latex] b)[latex]4*2^{3* frac{2}{3}} =4*4=16[/latex] c)[latex] 125*frac{1}{ sqrt[3]{125} } =125* frac{1}{5} =25[/latex] d)81=[latex]3^4[/latex] [latex]3^{4*(- frac{1}{8}) } =3^{- frac{1}{2} } = frac{1}{ sqrt{3} } = frac{ sqrt{3} }{3} [/latex] e)[latex] frac{7}{ sqrt{7} } = frac{7 sqrt{7} }{7} = sqrt{7} [/latex] f)[latex]7^{ frac{5}{2} } *7^{ -frac{3}{2} } = 7^{ frac{2}{2} } =7[/latex] g)[latex]3^{- frac{6}{4} } * 3^{- frac{9}{2} } =3^{- frac{3}{2} } * 3^{- frac{9}{2} }= 3^{-6} = frac{1}{729} [/latex]