Answer
If n is even: $|a|$;
If n is odd: $a$
Work Step by Step
If $n$ is even, then the value of $\sqrt[n]{a^n}$ cannot be negative.
Thus, if $n$ is even, $\sqrt[n]{a^n} = |a|$.
However, if $n$ is odd, $\sqrt[n]{a^n}$ can be any number.
Thus,if $n$ is odd, $\sqrt[n]{a^n} = a$.
