对于正整数a,b,c（a≤b≤c）和实数x,y,z,w,若a^x=b^y=c^z=70^w,且1/x+1/y+1/z=1/w,求a,b,c的值

a^x=70^w a=70^(w/x) 同理 b=70^(w/y) c=70^(w/z) abc=70^(w/x+w/y+w/z)=70^w(1/x+1/y+1/z)=70=2*5*7 a=2,b=5,c=7