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Anexos:

yasmim131:
empregando as propriedades da radiciação, escreva na forma de um único radical
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a) ![( \sqrt[5]{6} )^{3} = \sqrt[5]{ 6^{3} } = \sqrt[5]{216} ( \sqrt[5]{6} )^{3} = \sqrt[5]{ 6^{3} } = \sqrt[5]{216}](https://tex.z-dn.net/?f=+%28+%5Csqrt%5B5%5D%7B6%7D+%29%5E%7B3%7D+%3D+%5Csqrt%5B5%5D%7B+6%5E%7B3%7D+%7D+%3D+%5Csqrt%5B5%5D%7B216%7D+)
b)![( \sqrt[8]{ \frac{2}{7} } )^{3} =\sqrt[8]{ (\frac{2}{7})^{3} } =\sqrt[8]{ \frac{8}{343} } ( \sqrt[8]{ \frac{2}{7} } )^{3} =\sqrt[8]{ (\frac{2}{7})^{3} } =\sqrt[8]{ \frac{8}{343} }](https://tex.z-dn.net/?f=+%28+%5Csqrt%5B8%5D%7B+%5Cfrac%7B2%7D%7B7%7D+%7D+%29%5E%7B3%7D+%3D%5Csqrt%5B8%5D%7B++%28%5Cfrac%7B2%7D%7B7%7D%29%5E%7B3%7D++%7D+%3D%5Csqrt%5B8%5D%7B++%5Cfrac%7B8%7D%7B343%7D++%7D)
c)![( \sqrt[4]{5} )^{m} . ( \sqrt[4]{6} )^{n} = \sqrt[4]{ 5^{m} } . \sqrt[4]{ 6^{n} } = \sqrt[4]{ 5^{m} . 6^{n} } ( \sqrt[4]{5} )^{m} . ( \sqrt[4]{6} )^{n} = \sqrt[4]{ 5^{m} } . \sqrt[4]{ 6^{n} } = \sqrt[4]{ 5^{m} . 6^{n} }](https://tex.z-dn.net/?f=+%28+%5Csqrt%5B4%5D%7B5%7D+%29%5E%7Bm%7D+.+%28+%5Csqrt%5B4%5D%7B6%7D+%29%5E%7Bn%7D+%3D+%5Csqrt%5B4%5D%7B+5%5E%7Bm%7D+%7D+.+%5Csqrt%5B4%5D%7B+6%5E%7Bn%7D+%7D+%3D+%5Csqrt%5B4%5D%7B+5%5E%7Bm%7D+.+6%5E%7Bn%7D+%7D+)
d)![\sqrt[4]{ \sqrt{5} } = \sqrt[8]{5} \sqrt[4]{ \sqrt{5} } = \sqrt[8]{5}](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B+%5Csqrt%7B5%7D+%7D+%3D+%5Csqrt%5B8%5D%7B5%7D+)
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