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Simplify cube root of 7 over fifth root of 7. (5 points)


A. 7 to the power of 1 over 5

B. 7 to the power of 8 over 15

C. 7 to the power of 5 over 3

D. 7 to the power of 2 over 15

Answer :

Yna9141
The numerator of our fraction is the "cube root of 7" which can be expressed as 7^(1/3). In the same manner, our denominator is "fifth root of 7" which is equal to 7^(1/5). 

The mathematical expression of the given is,
   
     s = 7^(1/3) / 7^(1/5)

Since the numbers have the same bases, it can also become,
    s = 7^(1/3 - 1/5)

The simplification of the operation above is,
   s = 7^(2/15)

Hence, the answer to this item is letter D. 

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