Question

x=y^a, y=z^b, z=x^c. What is the value of abc?

Answer 1

hope I helps and good morning to everyone.

Answer 2

x=y^a ----1

y=z^b ----2

z=x^c ----3

Substituting 3 in 2

y=(x^c)^b

Substituting this in 1,

x=([x^c]^b)^a

x=x^abc

Since the bases are equal we can equate the powers

Therefore, abc=1