Find the value of x in each of the following:
[tex] \sqrt[3]{27} = \: x[/tex]

[tex] \sqrt[3]{x} = \frac{1}{4} [/tex]

[tex] \sqrt[3]{ \frac{1}{512} } = \: x[/tex]

[tex] \sqrt[3]{x} = 11[/tex]

Please explain how you got your answer(s), thanks!