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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
Simplify : $\frac{2^{2009}-2^{2007}}{2^{2006}-2^{2008}}$
  • A
    $-4$
  • ✓
    $-2$
  • C
    $-1$
  • D
    $2$
✓

Answer

Correct option: B.
$-2$
$\frac{2^{2009}-2^{2007}}{2^{2006}-2^{2008}}=\frac{2^{2007}(2^2-1)}{-(2)^{2006}(2^2-1)}$
$=-2^{2007-2006}$
$=-2$

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