Question

Prove that (x l /x m ) 1/lm .(x m /x n ) 1/mn . (x n /x l ) 1/nl = 1

Answer 1

$( x^{l} / x^{m}) ^{1/lm}. ( x^{m} / x^{n}) ^{1/mn}. ( x^{n} / x^{l}) ^{1/nl}$
=$( x^{l-m} ) ^{1/lm}. ( x^{m-n} ) ^{1/mn}. ( x^{n-l}) ^{1/nl}$
=$x^{(l-m)/lm}. x^{(m-n)/mn}. x^{(n-l)/nl}$
=$x^{(l-m)/lm+(m-n)/mn+(n-l)/nl}$
=$x^{(ln-mn+lm-ln+mn-lm)/lmn}$
=$x^{0}$
=1 (Proved)

Answer 2

Answer:

Step-by-step explanation: