Question

Which expression is equivalent

Answer 1

`15c^3 \sqrt[3]{2}`

Explanation:

`\sqrt[3]{27c^7} \cdot \sqrt[3]{250c^2} =`

`=\sqrt[3]{27c^7 \cdot 250c^2}`

`=\sqrt[3]{3^3c^6c \cdot 2 * 5^3c^2}`

`=\sqrt[3]{2 * 3^3 * 5^3c^6c^3}`

`=3 * 5c^3 \sqrt[3]{2}`

`=15c^3 \sqrt[3]{2}`