Alguém pode me ajudar??? Por favor, me ajudem! Agradeço desde já!!!
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a) ![( \sqrt[5]{6})^3= \sqrt[5]{6^3} = 6^{ \frac{3}{5} } ( \sqrt[5]{6})^3= \sqrt[5]{6^3} = 6^{ \frac{3}{5} }](https://tex.z-dn.net/?f=%28+%5Csqrt%5B5%5D%7B6%7D%29%5E3%3D+%5Csqrt%5B5%5D%7B6%5E3%7D+%3D+6%5E%7B+%5Cfrac%7B3%7D%7B5%7D+%7D++)
b)![( \sqrt[8]{ \frac{2}{7} })^3= \sqrt[8]{( \frac{2}{7} )^3} = \frac{2}{7} ^{ (\frac{3}{8}) } ( \sqrt[8]{ \frac{2}{7} })^3= \sqrt[8]{( \frac{2}{7} )^3} = \frac{2}{7} ^{ (\frac{3}{8}) }](https://tex.z-dn.net/?f=%28+%5Csqrt%5B8%5D%7B+%5Cfrac%7B2%7D%7B7%7D+%7D%29%5E3%3D+%5Csqrt%5B8%5D%7B%28+%5Cfrac%7B2%7D%7B7%7D+%29%5E3%7D+%3D++%5Cfrac%7B2%7D%7B7%7D+%5E%7B+%28%5Cfrac%7B3%7D%7B8%7D%29+%7D++)
c)![( \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.6^n}](https://tex.z-dn.net/?f=%28+%5Csqrt%5B4%5D%7B5%7D+%29%5Em%2A%28+%5Csqrt%5B4%5D%7B6%7D%29%5En%3D+%5Csqrt%5B4%5D%7B5%5Em.6%5En%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+)
e)![\sqrt[3]{ \sqrt[7]{2} } = \sqrt[21]{2} \sqrt[3]{ \sqrt[7]{2} } = \sqrt[21]{2}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%5Csqrt%5B7%5D%7B2%7D+%7D+%3D+%5Csqrt%5B21%5D%7B2%7D+)
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a)![\sqrt[6]{5^8} = \sqrt[6]{5^6.5^2} =5 \sqrt[6]{5^2} \sqrt[6]{5^8} = \sqrt[6]{5^6.5^2} =5 \sqrt[6]{5^2}](https://tex.z-dn.net/?f=+%5Csqrt%5B6%5D%7B5%5E8%7D+%3D+%5Csqrt%5B6%5D%7B5%5E6.5%5E2%7D+%3D5+%5Csqrt%5B6%5D%7B5%5E2%7D+)
b)![\sqrt[8]{81} = \sqrt[8]{3^4} = \sqrt[8:4]{3^4^:^4} = \sqrt{3} \sqrt[8]{81} = \sqrt[8]{3^4} = \sqrt[8:4]{3^4^:^4} = \sqrt{3}](https://tex.z-dn.net/?f=+%5Csqrt%5B8%5D%7B81%7D+%3D+%5Csqrt%5B8%5D%7B3%5E4%7D+%3D+%5Csqrt%5B8%3A4%5D%7B3%5E4%5E%3A%5E4%7D+%3D+%5Csqrt%7B3%7D+)
c)![\sqrt[21]{( \frac{1}{5} )^1^4} = \sqrt[21;7]{ ( \frac{1}{5} )^{14:7} } = \sqrt[3]{ (\frac{1}{5})^2 } \sqrt[21]{( \frac{1}{5} )^1^4} = \sqrt[21;7]{ ( \frac{1}{5} )^{14:7} } = \sqrt[3]{ (\frac{1}{5})^2 }](https://tex.z-dn.net/?f=+%5Csqrt%5B21%5D%7B%28+%5Cfrac%7B1%7D%7B5%7D+%29%5E1%5E4%7D+%3D+%5Csqrt%5B21%3B7%5D%7B+%28+%5Cfrac%7B1%7D%7B5%7D+%29%5E%7B14%3A7%7D+%7D+%3D+%5Csqrt%5B3%5D%7B+%28%5Cfrac%7B1%7D%7B5%7D%29%5E2+%7D+)
d)![\sqrt[9]{ \frac{125}{64} } = \sqrt[9]{ \frac{5^3}{2^6} } = \sqrt[3]{ \frac{5}{2^2} } \sqrt[9]{ \frac{125}{64} } = \sqrt[9]{ \frac{5^3}{2^6} } = \sqrt[3]{ \frac{5}{2^2} }](https://tex.z-dn.net/?f=+%5Csqrt%5B9%5D%7B+%5Cfrac%7B125%7D%7B64%7D+%7D+%3D+%5Csqrt%5B9%5D%7B+%5Cfrac%7B5%5E3%7D%7B2%5E6%7D+%7D+%3D+%5Csqrt%5B3%5D%7B+%5Cfrac%7B5%7D%7B2%5E2%7D+%7D+)
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Sarinha12311:
muito obrigada!!!!
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