Qual a raiz quinta de 5^6
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Esse número não possui raiz quinta exata, só podemos escrevê-la de uma maneira mais simples:
![\sqrt[5]{5^{6}}=5^{6/5}\\\\\sqrt[5]{5^{6}}=5^{(5+1)/5}\\\\\sqrt[5]{5^{6}}=5^{(5/5)+(1/5)}\\\\\sqrt[5]{5^{6}}=5^{1+(1/5)}\\\\\sqrt[5]{5^{6}}=5^{1}\cdot5^{(1/5)}\\\\\sqrt[5]{5^{6}}=5\cdot\sqrt[5]{5^{1}}\\\\\boxed{\boxed{\sqrt[5]{5^{6}}=5\sqrt[5]{5}}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5E%7B6%2F5%7D%5C%5C%5C%5C%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5E%7B%285%2B1%29%2F5%7D%5C%5C%5C%5C%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5E%7B%285%2F5%29%2B%281%2F5%29%7D%5C%5C%5C%5C%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5E%7B1%2B%281%2F5%29%7D%5C%5C%5C%5C%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5E%7B1%7D%5Ccdot5%5E%7B%281%2F5%29%7D%5C%5C%5C%5C%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5Ccdot%5Csqrt%5B5%5D%7B5%5E%7B1%7D%7D%5C%5C%5C%5C%5Cboxed%7B%5Cboxed%7B%5Csqrt%5B5%5D%7B5%5E%7B6%7D%7D%3D5%5Csqrt%5B5%5D%7B5%7D%7D%7D "\sqrt[5]{5^{6}}=5^{6/5}\\\\\sqrt[5]{5^{6}}=5^{(5+1)/5}\\\\\sqrt[5]{5^{6}}=5^{(5/5)+(1/5)}\\\\\sqrt[5]{5^{6}}=5^{1+(1/5)}\\\\\sqrt[5]{5^{6}}=5^{1}\cdot5^{(1/5)}\\\\\sqrt[5]{5^{6}}=5\cdot\sqrt[5]{5^{1}}\\\\\boxed{\boxed{\sqrt[5]{5^{6}}=5\sqrt[5]{5}}}")
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