MCQ
$(\frac{125}{216})^{\frac{-1}{3}}=$
- A$\frac{5}{6}$
- ✓$\frac{6}{5}$
- C$125$
- D$216$
✓
Answer
Correct option: B.
$\frac{6}{5}$
$(\frac{125}{216})^{\frac{-1}{3}}$
$\Rightarrow(\frac{5}{6})^3\times\frac{-1}{3}$
$\Rightarrow(\frac{5}{6})^{-1}$
$\Rightarrow\frac{6}{5}$
$\Rightarrow(\frac{5}{6})^3\times\frac{-1}{3}$
$\Rightarrow(\frac{5}{6})^{-1}$
$\Rightarrow\frac{6}{5}$
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