Proszę o pomoc!
Oblicz jaki procent liczby x stanowi liczba y.
x=![3^{-1} * 5^{ -\frac{1}{3}} * \frac{81^{ \frac{1}{4}} }{ \sqrt[3]{25} }](https://tex.z-dn.net/?f=3%5E%7B-1%7D+%2A+5%5E%7B+-%5Cfrac%7B1%7D%7B3%7D%7D+%2A+%5Cfrac%7B81%5E%7B+%5Cfrac%7B1%7D%7B4%7D%7D+%7D%7B+%5Csqrt%5B3%5D%7B25%7D+%7D+ "3^{-1} * 5^{ -\frac{1}{3}} * \frac{81^{ \frac{1}{4}} }{ \sqrt[3]{25} }")
y=![( \frac{2}{3})^{-3} * ( \frac{ \sqrt[4]{4}}{3})^{2}](https://tex.z-dn.net/?f=%28+%5Cfrac%7B2%7D%7B3%7D%29%5E%7B-3%7D+%2A+%28+%5Cfrac%7B+%5Csqrt%5B4%5D%7B4%7D%7D%7B3%7D%29%5E%7B2%7D+ "( \frac{2}{3})^{-3} * ( \frac{ \sqrt[4]{4}}{3})^{2}")
Oblicz jaki procent liczby x stanowi liczba y.
x=
y=
Ańń
![x=3^{-1}*5^{-\frac{1}{3}}*\frac{81\frac{1}{4}}{ \sqrt[3]{25}}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{\frac{325}{4}}{25^{\frac{1}{3}}}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{25*13}{4}*\frac{1}{25^{\frac{1}{3}}}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{5^2*13}{(5^{2})^{\frac{1}{3}}*4}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{5^2}{5^{\frac{2}{3}}}*\frac{13}{4}=\\ =3^{-1}*\frac{5^{-\frac{1}{3}}*5^2}{5^{\frac{2}{3}}}*\frac{13}{4}=\\ =3^{-1}*\frac{5^{\frac{5}{3}}}{5^{\frac{2}{3}}}*\frac{13}{4}=\\ =3^{-1}*5*\frac{13}{4}=\\=\frac{5*13}{3*4}=\\ =\frac{65}{12}=\\ =5 \frac{5}{12}](https://tex.z-dn.net/?f=x%3D3%5E%7B-1%7D%2A5%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%2A%5Cfrac%7B81%5Cfrac%7B1%7D%7B4%7D%7D%7B+%5Csqrt%5B3%5D%7B25%7D%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A5%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%2A%5Cfrac%7B%5Cfrac%7B325%7D%7B4%7D%7D%7B25%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A5%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%2A%5Cfrac%7B25%2A13%7D%7B4%7D%2A%5Cfrac%7B1%7D%7B25%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A5%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%2A%5Cfrac%7B5%5E2%2A13%7D%7B%285%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%2A4%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A5%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%2A%5Cfrac%7B5%5E2%7D%7B5%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%2A%5Cfrac%7B13%7D%7B4%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A%5Cfrac%7B5%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%2A5%5E2%7D%7B5%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%2A%5Cfrac%7B13%7D%7B4%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A%5Cfrac%7B5%5E%7B%5Cfrac%7B5%7D%7B3%7D%7D%7D%7B5%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%2A%5Cfrac%7B13%7D%7B4%7D%3D%5C%5C%0A%3D3%5E%7B-1%7D%2A5%2A%5Cfrac%7B13%7D%7B4%7D%3D%5C%5C%3D%5Cfrac%7B5%2A13%7D%7B3%2A4%7D%3D%5C%5C%0A%3D%5Cfrac%7B65%7D%7B12%7D%3D%5C%5C%0A%3D5+%5Cfrac%7B5%7D%7B12%7D "x=3^{-1}*5^{-\frac{1}{3}}*\frac{81\frac{1}{4}}{ \sqrt[3]{25}}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{\frac{325}{4}}{25^{\frac{1}{3}}}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{25*13}{4}*\frac{1}{25^{\frac{1}{3}}}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{5^2*13}{(5^{2})^{\frac{1}{3}}*4}=\\ =3^{-1}*5^{-\frac{1}{3}}*\frac{5^2}{5^{\frac{2}{3}}}*\frac{13}{4}=\\ =3^{-1}*\frac{5^{-\frac{1}{3}}*5^2}{5^{\frac{2}{3}}}*\frac{13}{4}=\\ =3^{-1}*\frac{5^{\frac{5}{3}}}{5^{\frac{2}{3}}}*\frac{13}{4}=\\ =3^{-1}*5*\frac{13}{4}=\\=\frac{5*13}{3*4}=\\ =\frac{65}{12}=\\ =5 \frac{5}{12}")
![y=(\frac{2}{3})^{-3}*(\frac{\sqrt[4]{4}}{3})^{2}=\\ =\frac{27}{8}*\frac{2}{9}=\\ =\frac{3}{4}](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B-3%7D%2A%28%5Cfrac%7B%5Csqrt%5B4%5D%7B4%7D%7D%7B3%7D%29%5E%7B2%7D%3D%5C%5C%0A%3D%5Cfrac%7B27%7D%7B8%7D%2A%5Cfrac%7B2%7D%7B9%7D%3D%5C%5C%0A%3D%5Cfrac%7B3%7D%7B4%7D "y=(\frac{2}{3})^{-3}*(\frac{\sqrt[4]{4}}{3})^{2}=\\ =\frac{27}{8}*\frac{2}{9}=\\ =\frac{3}{4}")
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