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3. Simplify :

    (i)     2^{\frac{2}{3}}.2^{\frac{1}{5}}

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Given number is 2^{\frac{2}{3}}.2^{\frac{1}{5}}

Now, on simplifying it we will get

\Rightarrow 2^{\frac{2}{3}}.2^{\frac{1}{5}} = 2^{\frac{2}{3}+\frac{1}{5}} = 2^{\frac{10+3}{15}} = 2^\frac{13}{15}            \left ( \because a^n.a^m = a^{n+m} \right )

Therefore, the answer is 2^{\frac{13}{15}}

Posted by

Gautam harsolia

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