MCQ
$\frac{2^{\text{n}+4}-2(2^\text{n}}{2(2^{\text{n}+3})}+2^{-3}$ is equal to
  • A
    $2^{\text{n}+1}$
  • B
    $-2^{\text{n}+1}+\frac{1}{8}$
  • C
    $\frac{9}{8}-2^\text{n}$
  • $1$

Answer

Correct option: D.
$1$

$\frac{2^{\text{n}+4}-2(2^\text{n}}{2(2^{\text{n}+3})}+2^{-3}$
$=\frac{2^{\text{n}+4}-(2^{\text{n}+4})}{(2^{\text{n}4})}+2^{-3}$
$=1-2^{-3}+2^{-3}=1$

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