Problem
Select the equivalent expression. \[ \left(\frac{1}{z^{-3} \cdot z}\right)^{\frac{5}{2}} \] \( \sqrt[5]{z} \) \( \frac{1}{z^{5}} \) Submit Answer \( z^{5} \) \( \frac{1}{\sqrt[5]{z}} \)
Solution
Step 1 ：\(\left(\frac{1}{z^{-3} \cdot z}\right)^{\frac{5}{2}} \)
Step 2 ：\( \left(\frac{1}{z^{-2}}\right)^{\frac{5}{2}} \)
Step 3 ：\( \frac{1}{z^{5}} \)
