Question

Hello, could you show me the steps to simplifying this problem?

Answer 1

We will have the following:

`\begin{gathered} \frac{\sqrt[3]{48x^(14)}}{\sqrt[3]{3x}}=\frac{\sqrt[3]{8x^(12)\ast6x^2}}{\sqrt[3]{3x}}=\frac{2x^4\sqrt[3]{6x^2}}{\sqrt[3]{3x}} \\ \\ =2x^4\sqrt[3]{(6x^2)/(3x)}=2x^4\sqrt[3]{2x} \end{gathered}`

So, the simplification is:

`2x^4\sqrt[3]{2x}`