## Intermediate Algebra for College Students (7th Edition)

If n is even: $|a|$; If n is odd: $a$
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, $\sqrt[n]{a^n} = a$.