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Mathematics

(x^a)^{(b - c)} (x^b)^{(c - a)}(x^c)^{(a - b)} =
0
1
2
3

Indices

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Answer

Given,

⇒ (x^a)^{(b - c)}(x^b)^{(c - a)}(x^c)^{(a - b)}

⇒ x^{(ab - ac)}x^{(bc - ba)}x^{(ca - cb)}

⇒ x^{(ab - ac) + (bc - ba) + (ca - cb)}

⇒ x^{(ab - ac + bc - ba + ca - cb)}

⇒ x^{(ab - ab + bc -bc - ac + ac)}

⇒ x⁰

⇒ 1.

Hence, option 2 is the correct option.

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