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

Hello, could you show me the steps to simplifying this problem?-example-1
User Tim Liberty
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1 Answer

3 votes

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}

User Dmitry Pisklov
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3.1k points
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