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 3.  Simplify :

    (iii)     \frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}  

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Given number is  \frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}

Now, on simplifying it we will get

\Rightarrow \frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}} = 11^{\frac{1}{2}-\frac{1}{4}}= 11^{\frac{2-1}{4}} = 11^\frac{1}{4}                \left ( \because \frac{a^n}{a^m}= a^{n-m}\right )
Therefore, the answer is  11^{\frac{1}{4}}

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Gautam harsolia

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