Select the equivalent expression. \[ \sqrt[4]{\frac{z^{-5}}{z^{-4}}} \] \( z^{4} \) \( z^{-\frac{1}{4}} \) Submit Answer \( z^{-4} \) \( z^{\frac{1}{4}} \)

Step 1 ：Simplify the expression inside the fourth root: \( \frac{z^{-5}}{z^{-4}} \)

Step 2 ：Rewrite as a single exponent: \( z^{-5 - (-4)} \)

Step 3 ：Simplify the exponent: \( z^{-1} \)

Step 4 ：Apply the fourth root: \( z^{-\frac{1}{4}} \)