Answer:
1
Step-by-step explanation:
Correct question:
If a=b^x, b=c^y and c=a^z, then what is the value of xyz? (Bolded part)
Given: a = b^x ...(1)
- b = c^y ...(2)
- c = a^z ...(3)
Putting the value of b from (2) onto eqn (1),
- a = (b)^x = (c^y)^x = c^xy ...(4)
Putting the value of x from eqn (3) to (1):
- a = (c)^xy = (a^z)xy = a^(xyz)
Since the bases "a" are equal,the powers are equal:
By the base law of indices:
[tex]\boxed{\sf xyz = 1}[/tex]
