Math, asked by dsamaraju, 1 year ago

a to the power x =b,b to the power y=c,c to the power z=a,then xyz= ?

Answers

Answered by yogii81
107
it's your answer......mark as brainliest
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Answered by MonsieurBrainly
110

 \huge \: given:  \\  \\  \huge {a}^{x}  = b \\   \huge {b}^{y}  = c \\  \huge {c}^{z}  = a
  find: xyz

 \Huge answer: \\  \\ b =  {a}^{x}  \\\\  so \:   \: {b}^{y}  =  {({a}^{x})}^{y}  \\  \\ c =  {b}^{y}  \\  \\ so \:  \:  {c}^{z}  =  {(({a}^{x})}^{y})^{z} \\  \\ also \:  \:  {c}^{z}  = a \\  \\ so \:  \:  {a}^{1}  = {(({a}^{x})}^{y})^{z} \\  \\ a \: and \: a \: get \: cancelled \\  \\ so \:  \: xyz = 1.
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