MCQ
The value of $\Big(\frac{-1}{216}\Big)^{-\frac{2}{3}}$ is:
- ✓$36$
- B$-36$
- C$\frac{1}{36}$
- D$-\frac{1}{36}$
$\Big(\frac{-1}{216}\Big)^{-\frac{2}{3}}$
$=\bigg[\Big(\frac{-1}{6}\Big)^3\bigg]^{-\frac{2}{3}}$
$=\Big(\frac{-1}{6}\Big)^{3\text{x}-\frac{2}{3}}$
$=\Big(-\frac{1}{6}\Big)^{-2}$
$=\frac{1}{\Big(-\frac{1}{6}\Big)^2}$
$=\frac{1}{\frac{1}{36}}=36$
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