Question

Show that (x^m/x^n)(x^n/x^l)(x^l/x^m) =1​

Answer 1

Answer:

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Answer 2

${x}^{m + n} \times {x}^{ n+ 1} = {x}^{m + n + n + 1 + 1 + m} = {x}^{2(1 \times + m+ n)} \\ ({x}^{m} \times {x}^{n} \times {x}^{1} ) = ( {x}^{m + n + 1} ) ^{2} = ({x}^{2( m + n +1 } ) \\ LHS = \frac{ {x}^{ m+ n } \times {x}^{n + 1} \times {x}^{1 + m} }{( {x}^{m} \times {x}^{n} \times {x}^{1} )} \\ = \frac{ {x}^{2(m + n + 1)} }{ {x}^{2(m + n + 1)} } \\ = 1 \\ = RHS$