MCQ
Tick $(\checkmark)$ the correct answer: $\sqrt[3]{\frac{-512}{729}}=\ ?$
- A$\frac{-7}{9}$
- ✓$\frac{-8}{9}$
- C$\frac{7}{9}$
- D$\frac{8}{9}$
$\sqrt[3]{\frac{-512}{729}}$
$\begin{array}{c|c}8&512\\\hline8&64\\\hline8&8\\\hline&1\end{array}$
$\begin{array}{c|c}9&729\\\hline9&81\\\hline9&9\\\hline&1\end{array}$
$=\sqrt[3]{\frac{(-8)\times(-8)\times(-8)}{9\times9\times9}}$
$=\sqrt[3]{\frac{(-8)^3}{(9)^3}}$
$=\frac{-8}{9}$
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