Math, asked by sri9877, 10 months ago

simplify
${x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}$

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Answered by abdul9838

$<b> <body \: bgcolor = "yellow">$

$\bf \blue{hey \: user \: here \: is \: answer} \\ \\ \bf \blue{ \huge \: solution} \\ \\ \bf \purple{as \: given} \\ \\ \bf \green{ {(x) }^{a(b - c)} \times {(x)}^{b(c - a)} \times{(x)}^{c(a - b)} } \\ \\ \bf \green{ {x}^{ab - ac} \times {x}^{bc - ba} \times {x}^{ca - cb} } \\ \\ \bf \green{ {x}^{ \cancel {ab} \cancel{-ac} + \cancel{bc} - \cancel{ab }+ \cancel{ac } \cancel{- bc} }} \\ \\ \bf \green{ {x}^{0} } \\ \\ \bf \green{1 \: answer}$

Answered by shrutirajak03

${x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)} \\ = > {x}^{ab - ac} \times {x}^{bc - ba} \times {x}^{ca - cb} \\ = > {x}^{ab - ac + bc - ba + ca - cb} \\ = > {x}^{0} \\ = > 1$

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simplify
${x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}$