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Simplify: `Root3((343)^-2)` - Mathematics

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Question

Simplify:

`root3((343)^-2)`

Solution

Given `root3((343)^-2)`

`root3((343)^-2)=root3(1/343^2)`

`=root3(1/(7^3)^2)`

`=1^(1/3)/7^(3xx1/3xx2)`

`=1/7^2`

`=1/49`

Hence the value of `root3((343)^-2)` is `1/49`

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Chapter 2: Exponents of Real Numbers - Exercise 2.2 [Page 24]

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RD Sharma Mathematics [English] Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 2.3 | Page 24

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