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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Use a fractional index to write: (493)5 - Mathematics

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Question

Use a fractional index to write: `(root(3)(49))^5`

Sum

Solution

`(root(3)(49))^5 = [(49)^(1/3)]^5`

= `[(7^2)^(1/3)]^5`

= `(7^(2/3))^5`

= `7^(2/3 xx 5)`

= `7^(10/3)`

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Fractional Index
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Chapter 2: Real Numbers - Exercise 2.5 [Page 59]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 2 Real Numbers
Exercise 2.5 | Q 4. (iii) | Page 59
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