5123433 By factorisation: nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; n ...

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Distributive Property of Rational Numbers

Evaluate:-512...

Question

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

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Solution

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

$\sqrt[3]{\frac{512}{343}}$ = $\frac{\sqrt[3]{8 \times 8 \times 8}}{\sqrt[3]{7 \times 7 \times 7}}$
$\sqrt[3]{\frac{- 512}{343}}$ = $\frac{- 8}{7}$

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\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}

\frac{\sqrt[3]{- 512}}{\sqrt[3]{343}} = \sqrt[3]{\frac{- 512}{343}}

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