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    ​Find the value of 715713\frac{7^\frac{1}{5}}{7^\frac{1}{3}}731​751​​​​
    Question

    ​Find the value of 715713\frac{7^\frac{1}{5}}{7^\frac{1}{3}}​​

    A.

    7537^\frac{5}{3}​​

    B.

    7357^\frac{3}{5}​​

    C.

    7457^\frac{4}{5}​​

    D.

    72157^\frac{-2}{15}​​

    Correct option is D

    Given: 

    715713\frac{7^\frac{1}{5}}{7^\frac{1}{3}} 

    Concept Used: 

    aman=amn\frac{a^m}{a^n} = a^{m-n} 

    Solution: 

    715713 =71513 =73515 =7215\frac{7^\frac{1}{5}}{7^\frac{1}{3}} \\ \ \\ = 7^{\frac{1}{5}-\frac{1}{3}} \\ \ \\ =7^{\frac{3 -5}{15}} \\ \ \\ =7^{\frac{ -2}{15}}​​

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