Question

16×2^n+1-8×2^n/16×2^n+1-4×2^n+1 find the value of n solve it please.​

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \pink{ \: \: SOLUTION \: \: } \mid}}}}}$

$\: \: \: \: \: \tt{ \red{ \frac{16 \times 2 {}^{n + 1} - 8 \times2 {}^{n} }{16 \times 2 {}^{n + 1} - 4 \times 2 {}^{n + 1} }} } \\ \\ \tt{ \blue{= \frac{2 {}^{4} \times2 {}^{n + 1} - 2 {}^{3} \times 2 {}^{n} }{2 {}^{4} \times 2 {}^{n + 1} - 2 {}^{2} \times 2 {}^{n + 1} } }} \\ \\ \tt{ \green{= \frac{2 {}^{4 + (n + 1) }- 2 {}^{3 + n} }{2 {}^{4 + (n + 1)} - 2 {}^{2 + (n + 1)}} }} \\ \\ \tt{ \pink{= \frac{2 {}^{4 + n + 1} - 2 {}^{3 + n} }{2 {}^{4 + n + 1} - 2 {}^{2 + n + 1}} }} \\ \\ \tt{ \purple{= \frac{ \cancel{2 {}^{5 + n} - 2 {}^{3 + n}} }{ \cancel{2 {}^{5 + n} - 2 {}^{3 + n} } }} } \\ \\ \tt{ \red{= 1}}$

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathbb{ \: \: SOLUTION \: \: } \mid}}}}$

$\: \: \: \bf{ \frac{16 \times 2 {}^{n + 1} - 8 \times2 {}^{n} }{16 \times 2 {}^{n + 1} - 4 \times 2 {}^{n + 1} } } \\ \\ \bf{= \frac{2 {}^{4} \times2 {}^{n + 1} - 2 {}^{3} \times 2 {}^{n} }{2 {}^{4} \times 2 {}^{n + 1} - 2 {}^{2} \times 2 {}^{n + 1} } } \\ \\ \bf{ = \frac{2 {}^{4 + (n + 1) }- 2 {}^{3 + n} }{2 {}^{4 + (n + 1)} - 2 {}^{2 + (n + 1)} }} \\ \\ \bf{ = \frac{2 {}^{4 + n + 1} - 2 {}^{3 + n} }{2 {}^{4 + n + 1} - 2 {}^{2 + n + 1}} } \\ \\ \bf{ = \frac{ \cancel{2 {}^{5 + n} - 2 {}^{3 + n}} }{ \cancel{2 {}^{5 + n} - 2 {}^{3 + n} } } } \\ \\ \bf{ = 1}$