Oblicz:
![\sqrt[7]{32 * \sqrt[3]{-64} } + \sqrt[5]{81 * \sqrt[3]{-27} } =](https://tex.z-dn.net/?f=+%5Csqrt%5B7%5D%7B32+%2A+%5Csqrt%5B3%5D%7B-64%7D+%7D+%2B+%5Csqrt%5B5%5D%7B81+%2A+%5Csqrt%5B3%5D%7B-27%7D+%7D+%3D "\sqrt[7]{32 * \sqrt[3]{-64} } + \sqrt[5]{81 * \sqrt[3]{-27} } =")
![(2* \sqrt[3]{1 \frac{4}{5} } + \sqrt[3]{-8 \frac{1}{3} } ) * \sqrt[3]{-0,12} =](https://tex.z-dn.net/?f=%282%2A+%5Csqrt%5B3%5D%7B1+%5Cfrac%7B4%7D%7B5%7D+%7D+%2B+%5Csqrt%5B3%5D%7B-8+%5Cfrac%7B1%7D%7B3%7D+%7D+%29+%2A+%5Csqrt%5B3%5D%7B-0%2C12%7D+%3D "(2* \sqrt[3]{1 \frac{4}{5} } + \sqrt[3]{-8 \frac{1}{3} } ) * \sqrt[3]{-0,12} =")
Paawełek
![\sqrt[7]{32 \cdot \sqrt[3]{-64}}+\sqrt[5]{81 \cdot \sqrt[3]{-27}}=\sqrt[7]{2^{5} \cdot (-2^{2})}+\sqrt[5]{3^{4} \cdot (-3)}= \\ =\sqrt[7]{-2^{7}}+\sqrt[5]{-3^{5}}=-2-3=-5 \\ \\ (2\sqrt[3]{1\frac{4}{5}}+\sqrt[3]{-8\frac{1}{3}}) \cdot \sqrt[3]{-0,12}=\left(2\sqrt[3]{\frac{9}{5}}-\sqrt[3]{\frac{25}{3}}\right)\cdot \sqrt[3]{-\frac{3}{25}}= \\ =2\sqrt[3]{-\frac{3}{25}\cdot \frac{9}{5}}+\sqrt[3]{\frac{25}{3} \cdot \frac{3}{25}}=-2 \sqrt[3]{\frac{27}{125}}+1=-2\cdot \frac{3}{5}+1=\\=-\frac{6}{5}+1=-\frac{1}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B32+%5Ccdot+%5Csqrt%5B3%5D%7B-64%7D%7D%2B%5Csqrt%5B5%5D%7B81+%5Ccdot+%5Csqrt%5B3%5D%7B-27%7D%7D%3D%5Csqrt%5B7%5D%7B2%5E%7B5%7D+%5Ccdot+%28-2%5E%7B2%7D%29%7D%2B%5Csqrt%5B5%5D%7B3%5E%7B4%7D+%5Ccdot+%28-3%29%7D%3D+%5C%5C+++%3D%5Csqrt%5B7%5D%7B-2%5E%7B7%7D%7D%2B%5Csqrt%5B5%5D%7B-3%5E%7B5%7D%7D%3D-2-3%3D-5+%5C%5C+%5C%5C+%282%5Csqrt%5B3%5D%7B1%5Cfrac%7B4%7D%7B5%7D%7D%2B%5Csqrt%5B3%5D%7B-8%5Cfrac%7B1%7D%7B3%7D%7D%29+%5Ccdot+%5Csqrt%5B3%5D%7B-0%2C12%7D%3D%5Cleft%282%5Csqrt%5B3%5D%7B%5Cfrac%7B9%7D%7B5%7D%7D-%5Csqrt%5B3%5D%7B%5Cfrac%7B25%7D%7B3%7D%7D%5Cright%29%5Ccdot++%5Csqrt%5B3%5D%7B-%5Cfrac%7B3%7D%7B25%7D%7D%3D+%5C%5C+%3D2%5Csqrt%5B3%5D%7B-%5Cfrac%7B3%7D%7B25%7D%5Ccdot+%5Cfrac%7B9%7D%7B5%7D%7D%2B%5Csqrt%5B3%5D%7B%5Cfrac%7B25%7D%7B3%7D+%5Ccdot+%5Cfrac%7B3%7D%7B25%7D%7D%3D-2+%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B125%7D%7D%2B1%3D-2%5Ccdot+%5Cfrac%7B3%7D%7B5%7D%2B1%3D%5C%5C%3D-%5Cfrac%7B6%7D%7B5%7D%2B1%3D-%5Cfrac%7B1%7D%7B5%7D "\sqrt[7]{32 \cdot \sqrt[3]{-64}}+\sqrt[5]{81 \cdot \sqrt[3]{-27}}=\sqrt[7]{2^{5} \cdot (-2^{2})}+\sqrt[5]{3^{4} \cdot (-3)}= \\ =\sqrt[7]{-2^{7}}+\sqrt[5]{-3^{5}}=-2-3=-5 \\ \\ (2\sqrt[3]{1\frac{4}{5}}+\sqrt[3]{-8\frac{1}{3}}) \cdot \sqrt[3]{-0,12}=\left(2\sqrt[3]{\frac{9}{5}}-\sqrt[3]{\frac{25}{3}}\right)\cdot \sqrt[3]{-\frac{3}{25}}= \\ =2\sqrt[3]{-\frac{3}{25}\cdot \frac{9}{5}}+\sqrt[3]{\frac{25}{3} \cdot \frac{3}{25}}=-2 \sqrt[3]{\frac{27}{125}}+1=-2\cdot \frac{3}{5}+1=\\=-\frac{6}{5}+1=-\frac{1}{5}")
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