Evaluate: $\sqrt[3]{\frac{- 512}{343}}$

\frac{9}{13}

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- \frac{8}{7}

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\frac{9}{7}

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- \frac{8}{13}

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Solution

The correct option is B $- \frac{8}{7}$
$\sqrt[3]{\frac{- 512}{343}}$
$= \sqrt[3]{\frac{- 8 \times - 8 \times - 8}{7 \times 7 \times 7}}$
$= \frac{- 8}{7}$

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Similar questions

Q. Evaluate:

(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9}

(i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5}

(i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}

Verify each of the following :

(i) $\frac{3}{7} \times \frac{- 5}{9} = \frac{- 5}{9} \times \frac{3}{7}$

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

$\frac{8}{9} + \frac{13}{7} - \frac{5}{3} = ?$

$\sqrt[3]{\frac{- 512}{729}}$ = ?
(a) $\frac{- 7}{9}$ (b) $\frac{- 8}{9}$
(c) $\frac{7}{9}$ (d) $\frac{8}{9}$

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Evaluate: 3√−512343

The correct option is B −873√−512343=3√−8×−8×−87×7×7=−87

Evaluate: $\sqrt[3]{\frac{- 512}{343}}$

The correct option is B $- \frac{8}{7}$
$\sqrt[3]{\frac{- 512}{343}}$
$= \sqrt[3]{\frac{- 8 \times - 8 \times - 8}{7 \times 7 \times 7}}$
$= \frac{- 8}{7}$