Answer
$-\sqrt[4] {16}$ = $-2$
Work Step by Step
To find the root of this radical, we will rewrite the radicand as a base raised to the 4th power because we want to take the 4th root of this number.
We rewrite $16$ as $2^4$:
$-\sqrt[4] {16}$ = $-\sqrt[4] {2^4}$
To get rid of the radical, we take the 4th root of $2^4$:
$-\sqrt[4] {16}$ = $-2$
We only want to take the real roots, so $-2$ is a valid answer because it is a real number.
