Question

simplify (question is given above in the picture)

Answer 1

Hope u like my process
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${( \frac{ {x}^{b} }{ {x}^{c} }) }^{b + c - a} \times {( \frac{ {x}^{c} }{ {x}^{a} } )}^{c + a - b} \times {( \frac{ {x}^{a} }{ {x}^{b} }) }^{a + b - c} \\ = {( {x}^{(b - c)}) }^{b + c - a} \times { ({x}^{(c - a)} )}^{c + a - b} \times {( {x}^{(a - b)}) }^{a + b - c} \\ = {x}^{(b - c)(b + c - a)} \times {x}^{(c - a)(c + a - b)} \times {x}^{(a - b)(a + b - c)} \\ = {x}^{ {b}^{2} - {c }^{2} - ab + ac } \times {x}^{ {c}^{2} - {a}^{2} - b c + ab} \times {x}^{ {a}^{2} - {b}^{2} -ac + bc } \\ = {x}^{ {b}^{2} - {c}^{2} - ab + ac + {c}^{2} - {a}^{2} - bc + ab + {a}^{2} - {b}^{2} - ac + bc } \\ = {x}^{0} = 1$
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