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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
Tick $(\checkmark)$ the correct answer the following : $\big(2^{-5}\div2^{−2}\big) = ?$
  • A
    $\frac{1}{128}$
  • B
    $\frac{-1}{128}$
  • C
    $-\frac{1}{8}$
  • ✓
    $\frac{1}{8}$
✓

Answer

Correct option: D.
$\frac{1}{8}$
$\big(2^{-5}\div2^{-2}\big)$
$=2^{-5-(-2)}$
$=2^{-5+2}$
$=2^{-3}\{\because\text{a}^\text{m}\div\text{a}^\text{n}=\text{a}^{\text{m-n}}\}$
$=\frac{1}{2^3}$
$=\frac{1}{8}$

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