Simplify cube root of (343)^(-2)

Simplify: \(\sqrt[3]{(343)^{-2}}\)

Solution

\[ = (343)^{-2/3} \]

\[ = (7^3)^{-2/3} \]

\[ = 7^{-2} \]

\[ = \frac{1}{49} \]

Final Answer:

\[ \boxed{\frac{1}{49}} \]

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