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把下列根式化成分数指数幂:
\(\sqrt[{6}] {8\sqrt {2}}\);
参考答案:\(\sqrt[6]{{8\sqrt 2 }} = \sqrt[6]{{{2^3} \cdot {2^{\frac{1}{2}}}}} = {({2^{\frac{7}{2}}})^{\frac{1}{6}}} = {2^{\frac{7}{{12}}}};\)
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