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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
The value of $\frac{1}{4^{-2}}$ is:
  • ✓
    $16$
  • B
    $8$
  • C
    $\frac{1}{16}$
  • D
    $\frac{1}{8}$
✓

Answer

Correct option: A.
$16$
Using law of exponents, $\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}} [\because$ a is non$-$integer$]$
$\therefore$ $\frac{1}{4^{-2}}=\frac{1}{\frac{1}{4^2}}$
$=\frac{1}{\frac{1}{16}}=1\times16$
$=16$

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