Question

Pls tell correct option.

Answer 1

Answer:-

Given :

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

$→ \frac{ {2}^{n + 4} - {2}^{1} ( {2}^{n} )}{ {2}^{1} \times {2}^{n + 3} } + \frac{1}{ {2}^{3} } \\ \\ → \frac{ {2}^{n + 4} - {2}^{1 + n} }{ {2}^{1 + n + 3} } + \frac{1}{8} \\ \\ → \frac{ {2}^{n} ( {2}^{4} - {2}^{1}) }{ {2}^{n + 4} } + \frac{1}{8} \\ \\ → \frac{ {2}^{n}(16 - 2) }{ {2}^{n} ( {2}^{4}) } + \frac{1}{8} \\ \\ → \frac{14}{16} + \frac{1}{8} \\ \\ → \frac{14 + 2}{16} \\ \\ → \frac{16}{16} \\ \\ → 1.$

Hence, the Value of the given question is 1.