Question

2^n+3 + 2^n+2 - 2^n-1 / 2^n-2 + 2^n

Answer 1

    
         $\frac{ 2^{n+3} + 2^{n+2} - 2^{n-1} }{ 2^{n-2} + 2^{n} } \\ \\ = \frac{2^n.2^3+2^n.2^2-2^n. 2^{-1} }{2^n. 2^{-2} +2^n} \\ \\ = \frac{2^n(2^3+2^2- 2^{-1}) }{2^n( 2^{-2} +1)} \\ \\ = \frac{8+4- \frac{1}{2} }{ \frac{1}{2}+1 } \\ \\ = \frac{ \frac{24}{2} - \frac{1}{2} }{ \frac{1}{2} + \frac{2}{2} } \\ \\ = \frac{ \frac{23}{2} }{ \frac{3}{2} } \\ \\ = \frac{23}{3} \\ \\ w$