which exponential expression is equivalent to please help

Answer: Choice D [tex]c^{5/7}[/tex]
Explanation:
The rule we use is
[tex]\left(\sqrt[n]{x}\right)^m = x^{m/n}[/tex]
The denominator n is the index of the root
With that rule in mind, we can say
[tex]\left(\sqrt[7]{c}\right)^5 = c^{5/7}[/tex]