Question

Plz answer me fast....??

Answer 1

Hey, Here is your answer
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$= \sqrt[lm]{ \frac{ {x}^{l} }{ {x}^{m} } } \times \sqrt[mn]{ \frac{ {x}^{m} }{ {x}^{n} } } \times \sqrt[nl]{ \frac{ {x}^{n} }{ {x}^{l} } } \\ \\ = \sqrt[lm]{ {x}^{(l - m)}} \times \sqrt[mn]{ {x}^{(m - n)}} \times \sqrt[nl]{ {x}^{(n - l)} } \\ \\ = {{x}^{(l - m)} }^{ \frac{1}{lm} } \times { {x}^{(m - n)}}^{ \frac{1}{mn} } \times {{x}^{(n - l)} }^{ \frac{1}{nl} } \\ \\ = {x}^{ \frac{l - m}{lm} } \times {x}^{ \frac{m - n}{mn} } \times {x}^{ \frac{n - l}{nl} } \\ \\ = {x}^{ \frac{l - m}{lm} + \frac{m - n}{mn} + \frac{n - l}{nl} } \\ \\ = {x}^{ \frac{ln - mn + ml - ln + mn - ml}{lmn} } \\ \\ = {x}^{ \frac{0}{lmn} } \\ \\ = {x}^{0} \\ \\ = 1$
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Answer 2

Solution:-

$lm \sqrt{ \frac{ {x}^{l} }{ {x}^{m} } } \times mn \sqrt{ \frac{ {x}^{m} }{ {x}^{n} } } \times nl \sqrt{ \frac{ {x}^{n} }{ {x}^{l} } } \\ {x}^{ \frac{l - m}{lm} } \times {x}^{ \frac{m - n}{ml} } \times {x}^{ \frac{n - l}{nl} } \\ {x}^{ (\frac{l - m}{lm} + \frac{m - n}{mn} + \frac{n - l}{nl} }) \\ {x}^{( \frac{nl - mn + lm - ln + mn - lm}{lmn} } ) \\ {x}^{ \frac{0}{lmn} } \\ {x}^{0} \\ = 1ans$
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