Answer
See explanations.
Work Step by Step
Step 1. Recall the formulas $\sqrt[n] a^n=a$ when $n$ is odd, and $\sqrt[n] a^n=|a|$ when $n$ is even, we have $\sqrt[3] {(-5)^3}=-5$ for $n=3$
Step 2. In the second case, we have $\sqrt[4] {(-5)^4}=|-5|=5$ for $n=4$
