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Simplify:

`root(3)(16/54)`

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#### Solution

`root(3)(16/54)`

= `root(3)((2 xx 2 xx 2 xx 2)/(2 xx 3 xx 3 xx 3))`

= `root(3)((2 xx 2 xx 2)/(3 xx 3 xx 3))`

= `root(3)((2^3)/(3^3))`

= `root(3)((2/3)^3)` `[a^m/b^m = (a/b)^m]`

= `2/3`

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