We know, 343 = 7 × 7 × 7=7^3 3 ( 343)^ 2 = 3 ( 7 )^ 3 × 2 #160; = ( 7 )^ 2 #160; = 149 ...

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Cube-Root of Fractional Numbers

Evaluate: 3...

Question

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

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Solution

We know, $343 = 7 \times 7 \times 7 = 7^{3}$

$\sqrt[3]{{(343)}^{- 2}}$ $= \sqrt[3]{{(7)}^{- 3 \times 2}}$ $= {(7)}^{- 2}$ $= \frac{1}{49}$

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