QuestionSimplify the radical expression. $\sqrt[5]{-x^{5}}$
Write your answer in the form $\mathrm{A}, \sqrt[5]{\mathrm{B}}$ , or $\mathrm{A} \sqrt[5]{\mathrm{B}}$ , where A and B are constants or expressions in x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A . $\square$ ㅁ | $\square$ $\sqrt[9]{ }$ ( $\square$ Submit

Studdy Solution
Simplify each part:
1. The fifth root of $-1$ is $-1$ because $(-1)^5 = -1$ .
2. The fifth root of $x^5$ is $|x|$ because the root cancels the exponent, and we take the absolute value to ensure non-negativity.
Thus, we have:
$-1 \cdot |x| = -|x|$
The simplified expression is:
$\boxed{-|x|}$

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