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If `root(3)(729)` = 9 then `root(3)(0.000729) = ?`

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#### Solution

It is given that ,

`root(3)(729)` = 9

`root(3)(0.000729) = root(3)(729/1000000)`

= `root(3)(729)/root(3)(1000000)`

= `root(3)(9^3)/root(3)((100)^3)`

= `9/100`

= 0.09

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