If a^x = b^y = m and b^w = a^z = n, then which one is correct?

(A) x + y = w + z
(B) xz = yw
(C) x – y = w – z
(D) wx = yz


Answer: (D)

Explanation: Take Power z/x on both sides
(a^x)^z/x = (b^y)^z/x
=> a^z = b^yz/x
=> b^w = b^yz/x (a^z = b^w)
=> w = yz/x
Hence, wx = yz

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