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Simplify: `Root5((32)^-3)` - Mathematics

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Question

Simplify:

`root5((32)^-3)`

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Solution

Given `root5((32)^-3)`

`=root5((1/32)^3)`

`=(1/32)^(3/5)`

`=(1/(2)^5)^(3/5)`

`=(1/2)^(5xx3/5)`

`=(1/2)^3`

`=1/8`

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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 2.2 | Page 24

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