Question

Simplify: $\frac{5^{n+3}-16\times 5^{n+1}}{12\times 5^{n+1}}$

Answer 1

Consider the given expresasion,

$\Rightarrow \frac{5^{n+3}-16\times 5^{n+1}}{12\times 5^{n+1}}$

$\Rightarrow \frac{5^{n+3}}{12\times 5^{n+1}}-\frac{16\times 5^{n+1}}{12\times 5^{n+1}}$

$\Rightarrow \frac{5^{n+3-n-1}}{12}-\frac{4}{3}$

$\Rightarrow \frac{25}{12}-\frac{4}{3}$

$=\frac{3}{4}$

Hence, this is the answer.