MCQ
Mark $(\checkmark)$ against the correct answer in the following:
$\Big(\frac{-5}{4}\Big)^{-1}=?$
$\Big(\frac{-5}{4}\Big)^{-1}=?$
- A$\frac{3}{5}$
- ✓$\frac{-3}{5}$
- C$\frac{5}{3}$
- D$\frac{-5}{3}$
✓
Answer
Correct option: B.
$\frac{-3}{5}$
$\Big(\frac{-5}{3}\Big)^{-1}=\Big(\frac{3}{-5}\Big)^1$
$\Big[\text{Since}\Big(\frac{\text{a}}{\text{b}}\Big)^{-\text{n}}=\Big(\frac{\text{b}}{\text{a}}\Big)^\text{n}\Big]$
$=\Big(\frac{3}{-5}\times\frac{-1}{-1}\Big)=\frac{-3}{5}$
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