{[(1 1/2 ) do potęgi -4 + 6 do -4] razy (2/3) do -4} razy (1/2) do -4
Agikson
![[(1 \frac{1}{2} )^-^4+6^-^4]*( \frac{2}{3} )^-^4*( \frac{1}{2} )^-^4=\\=[( \frac{3}{2})^-^4+ (\frac{1}{6})^4 ]*( \frac{3}{2} )^4*2^4=[( \frac{2}{3} )^4+ \frac{1}{1296} ]* \frac{81}{16} *16=\\=[ \frac{16}{81} + \frac{1}{1296} ]* \frac{81}{16} *16=[ \frac{256}{1296} + \frac{1}{1296} ]* \frac{81}{16} *16=\\= \frac{257}{1296} * \frac{81}{16} *16= \frac{257}{16} * \frac{1}{16}* \frac{16}{1} = \frac{257}{256} * \frac{16}{1} =\\= \frac{4112}{256} =16 \frac{16}{256} =16 \frac{1}{16}](https://tex.z-dn.net/?f=%5B%281+%5Cfrac%7B1%7D%7B2%7D+%29%5E-%5E4%2B6%5E-%5E4%5D%2A%28+%5Cfrac%7B2%7D%7B3%7D+%29%5E-%5E4%2A%28+%5Cfrac%7B1%7D%7B2%7D+%29%5E-%5E4%3D%5C%5C%3D%5B%28+%5Cfrac%7B3%7D%7B2%7D%29%5E-%5E4%2B+%28%5Cfrac%7B1%7D%7B6%7D%29%5E4+%5D%2A%28+%5Cfrac%7B3%7D%7B2%7D+%29%5E4%2A2%5E4%3D%5B%28+%5Cfrac%7B2%7D%7B3%7D++%29%5E4%2B+%5Cfrac%7B1%7D%7B1296%7D+%5D%2A+%5Cfrac%7B81%7D%7B16%7D+%2A16%3D%5C%5C%3D%5B+%5Cfrac%7B16%7D%7B81%7D+%2B+%5Cfrac%7B1%7D%7B1296%7D+%5D%2A+%5Cfrac%7B81%7D%7B16%7D+%2A16%3D%5B+%5Cfrac%7B256%7D%7B1296%7D+%2B+%5Cfrac%7B1%7D%7B1296%7D+%5D%2A+%5Cfrac%7B81%7D%7B16%7D+%2A16%3D%5C%5C%3D+%5Cfrac%7B257%7D%7B1296%7D+%2A+%5Cfrac%7B81%7D%7B16%7D+%2A16%3D+%5Cfrac%7B257%7D%7B16%7D+%2A+%5Cfrac%7B1%7D%7B16%7D%2A+%5Cfrac%7B16%7D%7B1%7D++%3D+%5Cfrac%7B257%7D%7B256%7D+%2A+%5Cfrac%7B16%7D%7B1%7D+%3D%5C%5C%3D+%5Cfrac%7B4112%7D%7B256%7D+%3D16+%5Cfrac%7B16%7D%7B256%7D+%3D16+%5Cfrac%7B1%7D%7B16%7D+ "[(1 \frac{1}{2} )^-^4+6^-^4]*( \frac{2}{3} )^-^4*( \frac{1}{2} )^-^4=\\=[( \frac{3}{2})^-^4+ (\frac{1}{6})^4 ]*( \frac{3}{2} )^4*2^4=[( \frac{2}{3} )^4+ \frac{1}{1296} ]* \frac{81}{16} *16=\\=[ \frac{16}{81} + \frac{1}{1296} ]* \frac{81}{16} *16=[ \frac{256}{1296} + \frac{1}{1296} ]* \frac{81}{16} *16=\\= \frac{257}{1296} * \frac{81}{16} *16= \frac{257}{16} * \frac{1}{16}* \frac{16}{1} = \frac{257}{256} * \frac{16}{1} =\\= \frac{4112}{256} =16 \frac{16}{256} =16 \frac{1}{16}")
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