сократите дробь 100^n+1\2^2n-1*25^n+2

Question

сократите дробь 100^n+1\2^2n-1*25^n+2

Answer 1

сократите дробь 100^(n+1)/(2^(2n-1)*25^(n+2))

100^(n+1)/(2^(2n-1)*25^(n+2)) = (100^n)*100/((2^(2n))/2)*(25^n)*25^2)=
= 100*100^n /((4^n)/2)*(25^n)*25^2) = 8*100^n/((4*25)^n*25)=
=(8/25) *100^n/100^n = 8/25 =0,32