Question

16 into 2 power n minus 1 minus 4 into 2 power and by 2
into 16 into 2 to the power n minus 1928 to the power n minus 2

Answer 1

$= \frac{ {2}^{4} \times {2}^{n - 1} - {2}^{2} \times {2}^{n} }{ {2}^{4} \times {2}^{n - 1} - {2}^{n - 2} } \\ = \frac{ {2}^{4 + n - 1} - {2}^{2 + n} }{ {2}^{4 + n - 1} - {2}^{n - 2} } \\ = \frac{ {2}^{3 + n} - {2}^{2 + n} }{ {2}^{3 + n} - {2}^{n - 2} } \\ = \frac{ {2}^{n} ( {2}^{3} - {2}^{2}) }{ {2}^{n}( {2}^{3} - {2}^{ - 2}) } \\ = \frac{8 - 4}{8 - \frac{1}{4} } \\ = \frac{4}{ \frac{32 - 1}{4} } \\ = \frac{16}{31}$