DODAJ +
Matematyka

Oblicz: a)[latex]125^{frac{1}{3}[/latex] b)[latex](7^{sqrt{2}})^{sqrt{2}}[/latex] c)[latex](frac{16}{81})^{frac{1}{4}}[/latex] d)[latex]5^{3+4sqrt7}} *(frac{1}{25})^{2sqrt{7}}[/latex] e)[latex]log_{2}6+log_{2}12+log_{2}frac{4}{9}[/latex]

Oblicz: a)[latex]125^{frac{1}{3}[/latex] b)[latex](7^{sqrt{2}})^{sqrt{2}}[/latex] c)[latex](frac{16}{81})^{frac{1}{4}}[/latex] d)[latex]5^{3+4sqrt7}} *(frac{1}{25})^{2sqrt{7}}[/latex] e)[latex]log_{2}6+log_{2}12+log_{2}frac{4}{9}[/latex]
Odpowiedź

a) [latex]sqrt[3]{125}[/latex]=5   b)[latex]7^2=49[/latex]   c)[latex]sqrt[4]{frac{16}{81}}=frac{2}{3}[/latex]   d)[latex]5 ^{3+4sqrt{7}}* frac{1}{25}^{2sqrt{7}}= 5 ^{3+4sqrt{7}}* 5^{-2}*^{2sqrt{7}}= 5^3=125[/latex]   e) log 2(6*12*4/9)=log 2(32)=5

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