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Simplify (x^m/x^n)^l * (x^n/x^l)^m * (x^l/x^m)^n

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Simplify (x^m/x^n)^l * (x^n/x^l)^m * (x^l/x^m)^n

Posted by Pragya Bajpai 4 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Meet .B. Dattani 4 years, 1 month ago

Here, is your answer (x^m/x^n)^l * (x^n/x^l)^m * (x^l/x^m)^n =(x^ml/x^nl)*(x^nm/x^lm)*(x^ln/x^mn) =(x^ml-nl)*(x^nm-lm)*(x^ln-mn) =x^[(ml-nl)+(nm-lm)+(ln-mn)] =x^ml-nl+nm-lm+ln-mn Therefore, same variables with negetive and positive signs are cancelled (example:- ml and -ml are cancelled) = x Hope it helps you

3Thank You

ANSWER

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CBSE > Class 09 > Mathematics