Question

Which of the following is equivalent to a real number?

Answer 1

ANSWER

${ (- 6745)}^{ \frac{1}{7} }$

EXPLANATION

If we have an exponential expression of the form:

${ (- x)}^{ \frac{1}{n} }$

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

${ (- 6745)}^{ \frac{1}{7} }$

The correct choice is A.