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![\sqrt[3]{ {343}^{ - 2} } \\ = \sqrt[3]{( {7}^{3} )^{ - 2} } \\ = \sqrt[3]{ \frac{1}{ {7}^{3 \times 2} } } \\ = \frac{1}{ {7}^{2} } \\ = \frac{1}{49} \sqrt[3]{ {343}^{ - 2} } \\ = \sqrt[3]{( {7}^{3} )^{ - 2} } \\ = \sqrt[3]{ \frac{1}{ {7}^{3 \times 2} } } \\ = \frac{1}{ {7}^{2} } \\ = \frac{1}{49}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%7B343%7D%5E%7B+-+2%7D+%7D++%5C%5C++%3D++%5Csqrt%5B3%5D%7B%28+%7B7%7D%5E%7B3%7D+%29%5E%7B+-+2%7D+%7D++%5C%5C++%3D++%5Csqrt%5B3%5D%7B+%5Cfrac%7B1%7D%7B+%7B7%7D%5E%7B3+%5Ctimes+2%7D+%7D+%7D++%5C%5C++%3D++%5Cfrac%7B1%7D%7B+%7B7%7D%5E%7B2%7D+%7D++%5C%5C++%3D++%5Cfrac%7B1%7D%7B49%7D+)
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