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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
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.
$\frac{1}{\text{x}^\text{m}}$
 
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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