Question

已知5^4m=25^3n+1,且2^3m=4^2(n+1),求代数式(m+n)^2n-m问问题

Answer 1

5^4m=25^3n+1,且2^3m=4^2(n+1)

25^2m=25^(3n+1),2^3m=2^4(n+1)

2m=3n+1,3m=4(n+1)

解得m=8,n=5

(m+n)^2n-m=(8+5)^(2*5-8)=13^2=169