xb xc b c a xa..., Area, General Mathematics

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

/98

+ AnswerD

+ ExplanationGiven Exp.` x = 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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