Oblicz
a) [tex]25^{\frac{1}{2} }[/tex] + [tex]8^{\frac{1}{3} }[/tex]
b) [tex]32^{\frac{1}{5} }[/tex] + [tex]8^{\frac{1}{4} }[/tex]
c)[tex]4^-{\frac{1}{2} }[/tex] + [tex]8^-{\frac{1}{3} }[/tex]
d) ([tex](\frac{9}{16} )^-{\frac{1}{2} }[/tex] + [tex](\frac{27}{64}) ^-{\frac{1}{3} }[/tex]
a) [tex]25^{\frac{1}{2} }[/tex] + [tex]8^{\frac{1}{3} }[/tex]
b) [tex]32^{\frac{1}{5} }[/tex] + [tex]8^{\frac{1}{4} }[/tex]
c)[tex]4^-{\frac{1}{2} }[/tex] + [tex]8^-{\frac{1}{3} }[/tex]
d) ([tex](\frac{9}{16} )^-{\frac{1}{2} }[/tex] + [tex](\frac{27}{64}) ^-{\frac{1}{3} }[/tex]
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ola737626
October 2020 | 0 Replies
BŁAGAM POMÓŻCIE PLIIIISSSSSSSS ❤️❤️❤️ DAJE ❤️ I NAJ!!!!!! BĘDĘ WDZIĘCZNA PLISSSSSSSSS...W tabeli (w załączniku) podano wyniki zakończonego sezonu szkolnej ligi piłkarskiej każda z drużyn rozegrała 10 meczów. Za wygrany mecz otrzymywała 3 punkty za remis 1 punkt a za porażkę 0 punktówWykonaj polecenie i napisz działanie Niebiescy w 10 meczach zdobyli 26 punktów. Ile razy odnieśli zwycięstwo A ile razy zremisowali
Odpowiedź:
25 1/2 + 8 1/3 = 33 5/6
32 1/5 + 8 1/4 = 40 9/20
4 - 1/2 + 8 - 1/3 = 11 1/6
( 9/16 ) - 1/2 + ( 27/64 ) - 1/3 = 29/192
Szczegółowe wyjaśnienie:
a)![25^{\frac{1}{2} }+8^{\frac{1}{3} } =\sqrt{25} +\sqrt[3]{8} =5+2=7](https://tex.z-dn.net/?f=25%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%2B8%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%5Csqrt%7B25%7D%20%2B%5Csqrt%5B3%5D%7B8%7D%20%3D5%2B2%3D7 "25^{\frac{1}{2} }+8^{\frac{1}{3} } =\sqrt{25} +\sqrt[3]{8} =5+2=7")
b)![32^{\frac{1}{5} } +8^{\frac{1}{4} } =\sqrt[5]{32} +\sqrt[4]{8} =2+\sqrt[4]{8}](https://tex.z-dn.net/?f=32%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%20%2B8%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%3D%5Csqrt%5B5%5D%7B32%7D%20%2B%5Csqrt%5B4%5D%7B8%7D%20%3D2%2B%5Csqrt%5B4%5D%7B8%7D "32^{\frac{1}{5} } +8^{\frac{1}{4} } =\sqrt[5]{32} +\sqrt[4]{8} =2+\sqrt[4]{8}")
c)![4^{-\frac{1}{2} } +8^{-\frac{1}{3} } =(\frac{1}{4}) ^{\frac{1}{2} } +(\frac{1}{8}) ^{\frac{1}{3} } =\frac{\sqrt{1} }{\sqrt{4} } +\frac{\sqrt[3]{1} }{\sqrt[3]{8} } =\frac{1}{2}+\frac{1}{2} =1](https://tex.z-dn.net/?f=4%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B8%5E%7B-%5Cfrac%7B1%7D%7B3%7D%20%7D%20%3D%28%5Cfrac%7B1%7D%7B4%7D%29%20%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%28%5Cfrac%7B1%7D%7B8%7D%29%20%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%3D%5Cfrac%7B%5Csqrt%7B1%7D%20%7D%7B%5Csqrt%7B4%7D%20%7D%20%2B%5Cfrac%7B%5Csqrt%5B3%5D%7B1%7D%20%7D%7B%5Csqrt%5B3%5D%7B8%7D%20%7D%20%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%3D1 "4^{-\frac{1}{2} } +8^{-\frac{1}{3} } =(\frac{1}{4}) ^{\frac{1}{2} } +(\frac{1}{8}) ^{\frac{1}{3} } =\frac{\sqrt{1} }{\sqrt{4} } +\frac{\sqrt[3]{1} }{\sqrt[3]{8} } =\frac{1}{2}+\frac{1}{2} =1")
d)![(\frac{9}{16})^{-\frac{1}{2}} +(\frac{27}{64})^{-\frac{1}{3}} =(\frac{16}{9}) ^{\frac{1}{2} } +(\frac{64}{27} )^{\frac{1}{3} } =\frac{\sqrt{16} }{\sqrt{9}} +\frac{\sqrt[3]{64} }{\sqrt[3]{27} } =\frac{4}{3} +\frac{4}{3} =\frac{8}{3} =6\frac{2}{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B16%7D%29%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%20%2B%28%5Cfrac%7B27%7D%7B64%7D%29%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%28%5Cfrac%7B16%7D%7B9%7D%29%20%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%28%5Cfrac%7B64%7D%7B27%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%3D%5Cfrac%7B%5Csqrt%7B16%7D%20%7D%7B%5Csqrt%7B9%7D%7D%20%2B%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%20%7D%7B%5Csqrt%5B3%5D%7B27%7D%20%7D%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2B%5Cfrac%7B4%7D%7B3%7D%20%3D%5Cfrac%7B8%7D%7B3%7D%20%3D6%5Cfrac%7B2%7D%7B3%7D "(\frac{9}{16})^{-\frac{1}{2}} +(\frac{27}{64})^{-\frac{1}{3}} =(\frac{16}{9}) ^{\frac{1}{2} } +(\frac{64}{27} )^{\frac{1}{3} } =\frac{\sqrt{16} }{\sqrt{9}} +\frac{\sqrt[3]{64} }{\sqrt[3]{27} } =\frac{4}{3} +\frac{4}{3} =\frac{8}{3} =6\frac{2}{3}")