MCQ
If $x$ be any integer different from zero and $m$ be any positive integer, then $x^{-m}$ is equal to:
- A$\text{x}^\text{m}$
- B$-\text{x}^\text{m}$
- ✓$\frac{1}{\text{x}^\text{m}}$
- D$\frac{-1}{\text{x}^\text{m}}$
✓
Answer
Correct option: C.
$\frac{1}{\text{x}^\text{m}}$
C. $\frac{1}{\text{x}^\text{m}}$
Solution:
Using law of exponents, $\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}}$ [$\because$ a is non-zero integer]
Similarly,
$\text{x}^{-\text{m}}=\frac{1}{\text{x}^\text{m}}$
Solution:
Using law of exponents, $\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}}$ [$\because$ a is non-zero integer]
Similarly,
$\text{x}^{-\text{m}}=\frac{1}{\text{x}^\text{m}}$
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