Odpowiedź :
Odpowiedź:
4)
[tex]\frac{5^{16} :5^{4} *5^{5} }{-5*5^{10}* 5^{14} :5^{4} } =\frac{5^{17} }{-5*5^{20}}=\frac{1}{-625}[/tex]
5)
[tex](\sqrt{\frac{196}{81} } :\sqrt[3]{\frac{343}{512} } +\sqrt{\frac{64}{9}} )*\sqrt[3]{\frac{729}{512} } =(\frac{14}{9}: \frac{7}{8} +\frac{8}{3} )*\frac{9}{5} =(\frac{16}{9}+\frac{24}{9} )*\frac{9}{5} =8[/tex]
6)
[tex]\sqrt[3]{100+9+16} +2\sqrt{2} *\sqrt{4.5} =\sqrt[3]{125} +2\sqrt{9}=5+2*3=11[/tex]
Odpowiedź:
4.
(5^8)² : 5^4 * 5^8/[5^10 * (-5)^15 : 5^4] = 5^16 : 5^4 * 5^8/(-5^25 : 5^4) =
= 5^12 * 5^8/(-5^21) = 5^20 : (-5^21) = -5^-1 = -1/5
5.
[√(2 34/81) : ∛(343/512) + √(7 1/9)] * ∛(5 104/125) =
= [√196/81 : 7/8 + √64/9] * ∛729/125 = (14/9 * 8/7 + 8/3) * 9/5 =
= (2/9 * 8 + 2 2/3) * 9/5 = (16/9 + 2 2 6/9) * 9/5 = (1 7/9 + 2 6/9) * 9/5 =
= 3 13/9 * 9/5 = 40/9 * 9/5 = 8
6.
∛(10² + 3² + 2²) + √8 * √1,5 * √3 = ∛(100 + 9 + 16) + √(12 * 3) = ∛125 + √36 =
= 5 + 6 = 11
Szczegółowe wyjaśnienie: