n+3 n-1
14 x 28
_____________
n 2n+1
8 x 7
Сократите дробь.
(14^(n+3)28^(n-1))/(8^n7^(2n+1))=((2*7)^(n+3)(2^2*7)^(n-1))/((2^3)^n7^(2n+1))= (2^n*2^3*7^n*7^3*2^n*2^(-1)*2^n*2^(-1)*7^n*7^(-1))/(2^n*2^n*2^n*7^n*7^n*7)=(2^3*7^3)/(2*2*7*7)=2744/(2*2*7*7)=2744/196=14
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Answers & Comments
(14^(n+3)28^(n-1))/(8^n7^(2n+1))=((2*7)^(n+3)(2^2*7)^(n-1))/((2^3)^n7^(2n+1))= (2^n*2^3*7^n*7^3*2^n*2^(-1)*2^n*2^(-1)*7^n*7^(-1))/(2^n*2^n*2^n*7^n*7^n*7)=(2^3*7^3)/(2*2*7*7)=2744/(2*2*7*7)=2744/196=14