Odpowiedź:
zad2
[tex]\frac{5^{20}-6*5^{18}}{25^9} =\frac{5^{18}(5^2-6)}{(5^2)^9} =\frac{5^{18}(25-6)}{5^{18}} =19[/tex]
zad3
a)[tex]4\sqrt{8} +2\sqrt{50} -3\sqrt{32} =4*2\sqrt{2} +2*5\sqrt{2} -3*4\sqrt{2} =8\sqrt{2} +10\sqrt{2} -12\sqrt{2} =18\sqrt{2} -12\sqrt{2} =6\sqrt{2}[/tex]
b)[tex]2\sqrt[3]{54} -5\sqrt[3]{2} +4\sqrt[3]{16} =2*3\sqrt[3]{2} -5\sqrt[3]{2} +4*2\sqrt[3]{2} =6\sqrt[3]{2} -5\sqrt[3]{2} +8\sqrt[3]{2} =14\sqrt[3]{2} -5\sqrt[3]{2} =9\sqrt[3]{2}[/tex]
Szczegółowe wyjaśnienie:
