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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Simplify: 27-2327-13 - Mathematics

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Question

Simplify: `(27^((-2)/3))/(27^((-1)/3))`

Sum

Solution

`(27^((-2)/3))/(27^((-1)/3)) = (27)^(-2/3)*(27)^(1/3)`

= `(27)^(-2/3 + 1/3)`

= `(27)^((-2 + 1)/3)`

= `(27)^(-1/3)`

= `(3^3)^(-1/3)`

= `3^(3 xx - 1/3)`

= 3–1

= `1/3`

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Chapter 2: Basic Algebra - Exercise 2.11 [Page 77]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 2 Basic Algebra
Exercise 2.11 | Q 1. (v) | Page 77
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