a^x=b^y-->a^(1/y)=b^(1/x)
a^x=c^z-->a^(1/z)=c^(1/x)
a^(1/x)*a^(1/y)*a^(1/z)=a(1/x)*b^(1/x)*(c(1/x)=(abc)^(1/x)=a^(1/x+1/y+1/z)
1/x+1/y+1/z=0
(abc)^(1/x)=1-->abc=1
a^x=b^y-->a^(1/y)=b^(1/x)
a^x=c^z-->a^(1/z)=c^(1/x)
a^(1/x)*a^(1/y)*a^(1/z)=a(1/x)*b^(1/x)*(c(1/x)=(abc)^(1/x)=a^(1/x+1/y+1/z)
1/x+1/y+1/z=0
(abc)^(1/x)=1-->abc=1