ANSWER
[tex]{ (- 6745)}^{ \frac{1}{7} } [/tex]
EXPLANATION
If we have an exponential expression of the form:
[tex] { (- x)}^{ \frac{1}{n} } [/tex]
then, the result is a real number, if and only if n is an odd number.
We analyze the options and find out that,the first option is where n is odd, because we have n=7.
Hence the only option that is equivalent to a real number is
[tex] { (- 6745)}^{ \frac{1}{7} } [/tex]
The correct choice is A.
