Сократите дробь 50^n+2/2^n-3*5^2n+3

Question

Сократите дробь 50^n+2/2^n-3*5^2n+3

Answer 1

2^n+2 * 5^2(n+2) / 2^n-3 * 5^2n+3 = 2^n+2 * 5^2n+4 / 2^n-3 * 5^2n+3= 2^n+2-n+3 * 5^2n+4-2n-3= 2^5 * 5^1= 32*5=160