Oblicz: a) [latex]a) (2sqrt{2} - 3) - (3 + 2sqrt{2}) = \ b) 3sqrt{6} - 3sqrt{2} / sqrt{3} - 1 = \ c) 1080 cdot 6^{4} + 6^{7} / 6^{6} = \ d) (9 cdot 5^{12} - 5^{13}) cdot 8^{3} / 2^{9} cdot 625^{3} = [/latex]

Oblicz: a) [latex]a) (2sqrt{2} - 3) - (3 + 2sqrt{2}) = \ b) 3sqrt{6} - 3sqrt{2} / sqrt{3} - 1 = \ c) 1080 cdot 6^{4} + 6^{7} / 6^{6} = \ d) (9 cdot 5^{12} - 5^{13}) cdot 8^{3} / 2^{9} cdot 625^{3} = [/latex]
Odpowiedź

a) [latex]2sqrt{2}-3-3-2sqrt{2}=-6[/latex] b) [latex]3sqrt{6}-frac{3sqrt{2}}{sqrt{3}}-1=3sqrt{6}-frac{3sqrt{6}}{3}-1=3sqrt{6}-sqrt{6}-1=2sqrt{6}-1[/latex] c) [latex]1080cdot6^{4}+frac{6^{7}}{6^{6}}=1080cdot6^{4}+6^{1}=6(1080cdot6^{3}+1)=6cdot(1080cdot216+1)=1399686[/latex] d)[latex] (9cdot5^{12}-5^{13})cdotfrac{8^{3}}{2^{9}}cdot625^{3}=5^{12}cdot(9-5)cdotfrac{2^{9}}{2^{9}}cdot5^{12}=2cdot5^{12}cdot4=5^{12}cdot2^{3}=10^3cdot5^{9}=50^{3}cdot5^{6}=250^{3}cdot5^{3}=1250^{3}[/latex]

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