If a^x = b, b^y = c and c^z = a, then what is the value of xyz ?

यदि a^x = b, b^y = c और c^z = a, तो xyz का मान क्या होगा ?

1. Aabc
2. B1
3. C1/abc
4. Dab

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: B. 1

Explanation

b = a^x, c = b^y = a^(xy), a = c^z = a^(xyz), so xyz = 1.

b = a^x, c = a^(xy), a = c^z = a^(xyz), अतः xyz = 1।