Question

Solve the question.
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Answer 1

Wow the person who answered above me is smart

Answer 2

Answer: 1

`((x^(a+b) )/(x^(c) )) ^(a-b).((x^(b+c) )/(x^(a) )) ^(b-c) .((x^(c+a) )/(x^(b) ))^(c-a)\\\\= (x^((a+b)(a-b)) )/(x^(c(a-b)) ).(x^((b+c)(b-c)) )/(x^(a(b-c)) ).(x^((c+a)(c-a)) )/(x^(b(c-a)) )\\\\=\frac{x^{a^(2)-b^(2) } }{x^(ac-bc) }.\frac{x^{b^(2)-c^(2) } }{x^(ab-ac) }.\frac{x^{c^(2)-a^(2) } }{x^(bc-ab) } \\\\=\frac{x^{a^(2)-b^(2)+b^(2)-c^(2)+c^(2)-a^(2) } }{x^(ac-bc+ab-ac+bc-ab) }\\\\=(x^(0) )/(x^(0) )=1`

Explanation: