Question

Сократите дробь:

 

$frac{52*10^n}{5^n+5^(n+2)}$

Answer 1

$frac{52*10^n}{5^n+5^{n+2}}=frac{52*5^n*2^n}{5^n+5^n*5^2}}=frac{52*5^n*2^n}{5^n(1+25)}}=frac{52*5^n*2^n}{5^n*26}}=2*2^n=2^{1+n}$