Problem

$\frac{5}{\sqrt[3]{2}} \cdot \frac{\sqrt[3]{2}}{\sqrt[3]{2}}=$

Answer

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Answer

\(\frac{5 \cdot \sqrt[3]{2}}{2} = \boxed{\frac{5\sqrt[3]{2}}{2}}\)

Steps

Step 1 ：\(\frac{5}{\sqrt[3]{2}} \cdot \frac{\sqrt[3]{2}}{\sqrt[3]{2}} = \frac{5 \cdot \sqrt[3]{2}}{\sqrt[3]{4}}\)

Step 2 ：\(\frac{5 \cdot \sqrt[3]{2}}{\sqrt[3]{4}} = \frac{5 \cdot \sqrt[3]{2}}{2}\)

Step 3 ：\(\frac{5 \cdot \sqrt[3]{2}}{2} = \boxed{\frac{5\sqrt[3]{2}}{2}}\)

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