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Oi!
a)
![\sqrt[8]{7^4} = {7}^{\frac{4}{8}} = {7}^{\frac{1}{2}} = \sqrt[2]{7} \sqrt[8]{7^4} = {7}^{\frac{4}{8}} = {7}^{\frac{1}{2}} = \sqrt[2]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B7%5E4%7D+%3D+%7B7%7D%5E%7B%5Cfrac%7B4%7D%7B8%7D%7D+%3D+%7B7%7D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D+%3D+%5Csqrt%5B2%5D%7B7%7D)
b)
![\sqrt[9]{5^3} = {5}^{\frac{3}{9}} = {5}^{\frac{1}{3}} = \sqrt[3]{5} \sqrt[9]{5^3} = {5}^{\frac{3}{9}} = {5}^{\frac{1}{3}} = \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B9%5D%7B5%5E3%7D+%3D+%7B5%7D%5E%7B%5Cfrac%7B3%7D%7B9%7D%7D+%3D+%7B5%7D%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D+%3D+%5Csqrt%5B3%5D%7B5%7D)
c)
![\sqrt[10]{2^2} = {2}^{\frac{2}{10}} = {2}^{\frac{1}{5}} = \sqrt[5]{2} \sqrt[10]{2^2} = {2}^{\frac{2}{10}} = {2}^{\frac{1}{5}} = \sqrt[5]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%5E2%7D+%3D+%7B2%7D%5E%7B%5Cfrac%7B2%7D%7B10%7D%7D+%3D+%7B2%7D%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D+%3D+%5Csqrt%5B5%5D%7B2%7D)
d)
a)
b)
c)
d)
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