Answer
$$-2$$
Work Step by Step
Recall:
For any real number $a$, $\sqrt[3]{a^3}=a$.
Using the rule above gives:
\begin{align*}
\sqrt[3]{-8}&=\sqrt[3]{(-2)(-2)(-2)}\\
&=\sqrt[3]{(-2)^3}\\
&=-2
\end{align*}
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