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
\( z^{5} \)
\( \frac{1}{\sqrt[5]{z}} \)

Answer

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Answer

\( \frac{1}{z^{5}} \)

Steps

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 ：\( \frac{1}{z^{5}} \)

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