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Find the Value of {((-2)By3)Power(-2)}Square2` - Mathematics

Find the value of `{((-2)/3)^(-2)}^2`

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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]`

= `(9/4)^2 = 81/16` 

Concept: Powers with Negative Exponents
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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 12 Exponents and Powers
Exercise 12.1 | Q 3.5 | Page 197
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