The correct option is C 89 √(( 512 / 729 #160; ) #160; ) ( 512 / 729 #160; ) #160; ^ 1 / 3 #160; ( ( 8 / 9 #160; ) ...

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Cube-Root of Fractional Numbers

Simplify: √...

Question

Simplify: $\sqrt[3]{\frac{- 512}{729}}$

\frac{8}{7}

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- \frac{8}{7}

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\frac{8}{9}

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- \frac{8}{9}

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Solution

The correct option is C $- \frac{8}{9}$
$\sqrt[3]{(\frac{- 512}{729})} {(\frac{- 512}{729})}^{\frac{1}{3}} {({(- \frac{8}{9})}^{3})}^{\frac{1}{3}} = - \frac{8}{9}$

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Similar questions

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

4 + [- 9 + {¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 7 + 3 - 8 - 9}]

14 [- 24 \div {- 8 + 2} - 3 (- 7 + 3)]

\frac{1}{\sqrt{9} - \sqrt{8}} - \frac{1}{\sqrt{8} - \sqrt{7}} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{5} - \sqrt{4}}

\frac{3}{8} + \frac{7}{2} + \frac{- 3}{5} + \frac{9}{8} + \frac{- 3}{2} + \frac{6}{5}

9 \times [59 - {7 \times 8 + (26 - 3 \times 5)}]

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