Question

someone please answer this question​

Answer 1

equation answer is 1

Step-by-step explanation:

$\sqrt[lm]{ \frac{ {x}^{l} }{ {x}^{m} } } \times \sqrt[mn]{ \frac{ {x}^{m} }{ {x}^{n} } } \times \sqrt[nl]{ \frac{ {x}^{n} }{ {x}^{l} } }$

$= {( \frac{ {x}^{l} }{ {x}^{m} } )}^{ \frac{1}{lm} } \times {( \frac{ {x}^{m} }{ {x}^{n} } )}^{ \frac{1}{mn} } \times {( \frac{ {x}^{n} }{ {x}^{l} } )}^{ \frac{1}{nl} }$

$= {({ {x}^{l - m} } )}^{ \frac{1}{lm} } \times {({ {x}^{m - n} } )}^{ \frac{1}{mn} } \times {({ {x}^{n - l} } )}^{ \frac{1}{nl} }$

$= {({ {x} } )}^{ \frac{(l - m)}{lm} } \times{({ {x} } )}^{ \frac{( m - n)}{mn} } \times {({ {x} } )}^{ \frac{(n - l)}{nl} }$

$= {({ {x} } )}^{ \frac{(l - m)}{lm} +\frac{(m - n)}{mn} + \frac{(n - l)}{nl}}$

$= {x}^{\frac{(ln - mn + lm - nl + nm -lm )}{mnl}}$

$= {x}^{0}$

$= 1$