Simplify the expression 3x \sqrt[3]{648 {x}^(4) {y}^(8) }

Question

Simplify the expression
`3x \sqrt[3]{648 {x}^(4) {y}^(8) }`

Answer 1

Case: Simplification

Method:

`\begin{gathered} 3x\sqrt[3]{648x^4y^8} \\ 3x*648^{(1)/(3)}* x^{(4)/(3)}* y^{(8)/(3)} \\ 3x*\sqrt[3]{216*3}*\sqrt[3]{x^3* x}*\sqrt[3]{y^6* y^2} \\ 3x*6*\sqrt[3]{3}* x*\sqrt[3]{x}* y^2*\sqrt[3]{y^2} \\ 3x*6* x* y^2*\sqrt[3]{3}*\sqrt[3]{x}*\sqrt[3]{y^2} \\ 18x^2y^2\sqrt[3]{3xy^2} \end{gathered}`

Final answer:

`18x^2y^2\sqrt[3]{3xy^2}`