The expression ( {x^{a}}/{x^{-b}})^{a^{2}-a b+b^{2}} \times( {x^{b}}/{x^{-c}})^{b^{2}-b c+c^{2}}x( {x^{c}}/{x^{-a}})^{c^{2}-a c+a^{2}} reduces to :

Correct Answer is : x2(a3+b3+c3)

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Question : 40 of 86

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The expression

(\;{x^{a}}/{x^{-b}})^{a^{2}-a b+b^{2}} ×(\;{x^{b}}/{x^{-c}})^{b^{2}-b c+c^{2}}x(\;{x^{c}}/{x^{-a}})^{c^{2}-a c+a^{2}}

reduces to :

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