Question

Simplify the radical in the image

Answer 1

You have the following expression:

`-6\sqrt[3]{256x^7y^8}`

by simplifying the previous expression you obtain:

`\begin{gathered} -6\sqrt[3]{256x^7y^(8)}=-6\cdot\sqrt[3]{4\cdot64x\cdot x^(6)y^(6)y^(2)}=-6\cdot4x^2y^2\sqrt[3]{4xy^(2)} \\ =-24x^2y^2\sqrt[3]{4xy^2} \end{gathered}`

where you have taken into account to factorize the variables inside the root in a way you can simplify it.