Proszę o pomoc w obliczeniu: a) pierwiastek z 2 * 4 do potęgi 1/3 * 8 do potęgi - 1/3
b) 27 do potęgi - 5/3 + ( 1/16 ) do potęgi 1/4
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a)
b)![27 ^{-\frac{5}{3}}+ ( \frac{1}{16})^{\frac{1}{4}}=\sqrt[3]{27^{-5}}+\sqrt[4]{\frac{1}{16}}=3^{-5}+\frac{1}{2}=\frac{1}{243}+\frac{1}{2}=\frac{2}{486}+\frac{243}{486}=\frac{245}{486} 27 ^{-\frac{5}{3}}+ ( \frac{1}{16})^{\frac{1}{4}}=\sqrt[3]{27^{-5}}+\sqrt[4]{\frac{1}{16}}=3^{-5}+\frac{1}{2}=\frac{1}{243}+\frac{1}{2}=\frac{2}{486}+\frac{243}{486}=\frac{245}{486}](https://tex.z-dn.net/?f=27+%5E%7B-%5Cfrac%7B5%7D%7B3%7D%7D%2B+%28+%5Cfrac%7B1%7D%7B16%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Csqrt%5B3%5D%7B27%5E%7B-5%7D%7D%2B%5Csqrt%5B4%5D%7B%5Cfrac%7B1%7D%7B16%7D%7D%3D3%5E%7B-5%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B243%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B2%7D%7B486%7D%2B%5Cfrac%7B243%7D%7B486%7D%3D%5Cfrac%7B245%7D%7B486%7D)