Question

a^x(y-z) × a^y(z-x) × a^z(x-y) = …………………

A) 3 

B) 1 

C) – 1 

D) 0

Answer 1

Correct option is (B) 1

\(a^{x(y-z)}\times a^{y(z-x)}\times a^{z(x-y)}\) \(=a^{xy-xz}\times a^{yz-xy}\times a^{xz-yz}\)

\(=a^{(xy-xz)+(yz-xy)+(xz-yz)}\)

\(=a^0=1\)

Answer 2

Correct option is  B) 1