Question

Answer it quickly please ​

Answer 1

Step-by-step explanation:

We have,

$\frac{ {5}^{2(n + 6)} \times (25) ^{ - 7 + 2n} }{(125)^{2n} }$

$= \frac{ {5}^{2n + 12} \times (5) ^{ - 14 + 4n} }{(5)^{6n} }$

$= \frac{ {5}^{2n + 12 - 14 + 4n} }{(5)^{6n} }$

$= \frac{ {5}^{6n - 2 } }{(5)^{6n} }$

$= \frac{ 1 }{(5)^{6n - 6n + 2} }$

$= \frac{ 1 }{(5)^{2} }$

$= \frac{ 1 }{25}$