Question

if x^{a}= y , y^{b} =z and z^{c}=x then prove that abc=1?

Answer 1

Three equations,
[tex]x^a=y \\ - \swarrow - \\ y^b=z \\ - \swarrow - \\ z^c=x [/tex]
(substitute the variables as shown)
You'll get $x^{abc}=x \ \text{which is} \ abc=1$