Question:`(x^b/x^c)^(b + c - a)  .(x^c/x^a)^(c + a - b)  .(x^a/x^b)^(a + b - c) = ?` 

A `x^abc` 
B x^(a + b + c)` 
C `x^(ab + bc + ca)` 
D 1 

+ Answer
D 

+ Explanation
`= x^(b - c)(b + c - a)  .x^(c - a)(c + a - b) . x^(a - b)(a + b - c)`

`= x^((b^2 - c^2) + (c^2 - a^2) + (a^2 - b^2)) . x^(- a(b - c) - b(c - a) - c(a - b)`

`= x^0 . x^0 = 1`

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Irin Moni

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