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Simplify: `(0.001)^(1/3)` - Mathematics

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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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 2.4 | Page 24
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