Question

please evaluate this ​

Answer 1

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★Step 1 : Convert into improper fraction

$\sqrt[3]{ - 2 \frac{10}{27} } \implies \sqrt[3]{ - \frac{64}{27} }$

★Step 2 : Find factors

$\sqrt[3]{ - \frac{64}{27} } \implies \sqrt[ 3 ]{ - \frac{4 \times 4 \times 4}{3 \times 3 \times 3} } \\ \implies \sqrt[3]{ - \frac{ {4}^{3} }{ {3}^{3} } }$

★Step 3 : Evaluate the cubes

$\sqrt[3]{ - \frac{ {4}^{3} }{ {3}^{3} } } \implies - \frac{4}{3}$