Answer
$n=-0.7,0.7$; Marie forgot to write the negative answer.
Work Step by Step
Isolate the variable factor on one side, and then take the $n$th root of both sides to solve for the variable. If the root is even, there will be a positive and negative answer. If the root is odd and the other side is negative, there is only a negative answer.
$n^8=0.05764801$
$n=\sqrt[8] {0.05764801}$
$n=-0.7,0.7$
Marie forgot to write the negative answer.