If x > 0, and $x^4 +\frac{1}{x^4} =2207$, what is the value of $x^7 +\frac{1}{x^7}$?
Answer & explanation
Correct answer: option 2
If x > 0, and $x^4 +\frac{1}{x^4} =2207$
$x^7 +\frac{1}{x^7}$ = ?
In this type of questions the unit digit of $x^4 +\frac{1}{x^4}$ is always same as the unit digit of $x^7 +\frac{1}{x^7}$
So going through the options then we have 710647 option that has the unit digit same with the given question.