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Let all the value =k so,a^x=b^y=c^z=ka^x=ka=k^1/xb^y=kb=k1/yc^z=kc=k^1/zAccording to the questiona^3=b^2c(k^1/x)^3=(k^2y)^2*k^1/z(on putting the value of a,b,c)k^3/x=k^2/y+1/z3/x-2/y=1/z. Proved
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