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Simplify (i) ((x^(i))/(x^(m)))^((1)/(...

Simplify
(i) `((x^(i))/(x^(m)))^((1)/(lm)).((x^(m))/(x^(n)))^((1)/(m)).((x^(n))/(x^(l)))^((1)/(nl))`
(ii) `((x^(p))/(x^(q)))^((1)/(ml)).((x^(q))/(x^(r)))^((1)/(mn)).((x^(r))/(x^(p)))^(r+q)`

Text Solution

AI Generated Solution

To simplify the given expressions step by step, we will use the properties of exponents. Let's break down each part of the question. ### Part (i) We need to simplify: \[ \left(\frac{x^i}{x^m}\right)^{\frac{1}{lm}} \cdot \left(\frac{x^m}{x^n}\right)^{\frac{1}{m}} \cdot \left(\frac{x^n}{x^l}\right)^{\frac{1}{nl}} \] ...
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