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Find the value of {(-23)-2}2 - Mathematics

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Question

Find the value of `{((-2)/3)^(-2)}^2`

Sum

Solution

`{((-2)/3)^(-2)}^2` = `{(3/(-2))^2}^2`     ...`(a^(-m) = 1/a^m)`

= `{3^2/(-2)^2}^2`       ....`[(a/b)^m = a^m/b^m]`

= `{(-3/2)xx((-3)/2)}^2`

= `(9/4)^2`

= `9/4 xx 9/4`

= `81/16`

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Chapter 12: Exponents and Powers - Exercise 12.1 [Page 197]

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NCERT Mathematics [English] Class 8
Chapter 12 Exponents and Powers
Exercise 12.1 | Q 3.5 | Page 197

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