Question

FREE 100 POINTS
ma.SM. ch1.indices. pg1.2,Q23

PLZ. EXPLAIN IN CORRECTLY DETAIL STEP BY STEP​

Answer 1

Answer:

Option (b) 1

Step-by-step explanation:

Answer 2

ANSWER:

B) 1

STEP-BY-STEP VERIFICATION:

${ | \frac{ {x}^{l} }{ {x}^{m} } | }^{ {l}^{2} + lm + {m}^{2} } \times {| \frac{ {x}^{m} }{ {x}^{n} } | }^{ {m}^{2} + mn + {n}^{2} } \times {| \frac{ {x}^{n} }{ {x}^{l} } | }^{ {l}^{2} + ln + {n}^{2} } \\ = {x}^{(l - m)( {l}^{2} + lm + {m}^{2} )} . {x}^{(m - n)( {m}^{2} + mn + {n}^{2}) }. {x}^{(n - l)( {n}^{2} + nl + {l}^{2}) } \\ = {x}^{ {l}^{3} - {m}^{3} } . {x}^{ {m}^{3} - {n}^{3} } . {x}^{ {n}^{3} - {l}^{3} } \\ = {x}^{ {l}^{3} - {m}^{3} + {m}^{3} - {n}^{3} + {n}^{3} - {l}^{3} } \\ = {x}^{0} \\ = 1$