MCQ
Mark $(\checkmark)$ tick against the correct answer in the following:
$\Big(\frac{2}{3}\Big)^{-5}=?$
$\Big(\frac{2}{3}\Big)^{-5}=?$
- A$\frac{32}{243}$
- ✓$\frac{243}{32}$
- C$\frac{-32}{243}$
- D$\frac{-243}{32}$
✓
Answer
Correct option: B.
$\frac{243}{32}$
$\because \Big(\frac{2}{3}\Big)^{-5}=\Big(\frac{3}{2}\Big)^{5}$
$=\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}$
$=\frac{243}{32}$
$=\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}$
$=\frac{243}{32}$
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