Chapter P - Review Exercises - Page 143: 55

$-2$

To evaluate an expression in the form $\sqrt[y] x$, we must find the number that, when multiplied by itself $y$ times, gives us $x$. In this case, as $-2\times-2\times-2\times-2\times-2=-32$, we know that $\sqrt[5] {-32}=-2$.