Question

若m和n是不为零的互为相反数,x和y互为倒数,c的绝对值是2,求(xy-m/n)^5+(c^4/n/m)-(x/y)^2

Answer 1

m和n是不为零的互为相反数,m+n=0,m/n=-1,n/m=-1

x和y互为倒数 xy=1

c的绝对值是2 ,c^4=2^4=16

(xy-m/n)^5=2^5=32

c^4/n/m=-16

(x/y)^2004=0

(xy-m/n)^5+(c^4/n/m)-(x/y)^2004=32-16-0=16