What is the simplified form of the following expression?
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Answer:
[tex]\frac{\sqrt[3]{100x}}{5}[/tex]
Step-by-step explanation:
we have
[tex]\sqrt[3]{\frac{4x}{5}}[/tex]
Multiply inside by [tex]\frac{25}{25}[/tex]
so
[tex]\sqrt[3]{\frac{4x*25}{5*25}}[/tex]
[tex]\sqrt[3]{\frac{100x}{125}}[/tex]
Remember that
[tex]\sqrt[3]{125}=5[/tex]
substitute
[tex]\sqrt[3]{\frac{100x}{125}}=\frac{\sqrt[3]{100x}}{\sqrt[3]{125}}=\frac{\sqrt[3]{100x}}{5}[/tex]