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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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