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


Options:
A .  `x^(abc)`
B .  1
C .  `x^(ab + bc + ca)`
D .  `x^(a + b +c)`
Answer: Option B

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

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

=`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 xx x^0)` =  1 x 1 = 1.




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