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Question
Simplify:
`(0.001)^(1/3)`
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Solution
Given `(0.001)^(1/3)`
`(0.001)^(1/3)=((0.001xx1000)/(1xx1000))^(1/3)`
`=(1/1000)^(1/3)`
`=((1xx1xx1)/(10xx10xx10))^(1/3)`
`=(1^3/10^3)^(1/3)`
`=(1^(3xx1/3)/10^(3xx1/3))`
`=1/10`
Hence the value of `(0.001)^(1/3)` is `1/10`
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