Simplifying cube root of fraction

How do you simplify the cube root of this fraction?³√(4/9)

³√4
------ {took cube root of 4 over cube root of 9}
³√9

³√4 ³√3
----------- {multiplied top and bottom by cube root of 3}
³√9 ³√3

³√12
------- {multiplied on top and bottom}
³√27

³√12
------- {evaluated cube root of 27 to be 3}
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