Question

simplify:. 16×2^n+1-4×2^n/16×2^n+2-2×2^n+2.

Answer 1

  16.2^n+1 − 4 . 2^n/16 . 2^n+2 − 2 . 2^n + 2
=2^n[16×2 − 4×1]/2^n[16×2^2 − 2×2^2]
=32 − 4/64 − 8
=28/56
=12

Answer 2

Answer:

$\frac{1}{2}$

Step-by-step explanation:

$= > \frac{16 \times {2}^{n + 1} - 4 \times {2}^{n} }{16 \times {2}^{n + 2} - 2 \times {2}^{n + 2} } \\ = > \frac{ {2}^{4} \times {2}^{n + 1} - {2}^{2} \times {2}^{n} }{ {2}^{4} \times {2}^{n + 2} - 2 \times {2}^{n + 2} } \\ = > \frac{ {2}^{n + 5} - {2}^{n + 2} }{ {2}^{n + 6} - {2}^{n + 2} } \\ = > \frac{ {2}^{n + 5} - {2}^{n + 2} } {2( {2}^{n + 5} - {2}^{n + 2} } \\ = > \frac{1}{2}$

Hope you have got it