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Simplify: (14)-2+(12)-2+(13)-2 - Mathematics

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Question

Simplify:

`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`

Simplify

Solution

Using law of exponents, `a^-m = 1/a^m`  ...[∵ a is non-zero integer]

∴ `(1/4)^-2 + (1/2)^-2 + (1/3)^-2 = (4)^2 + (2)^2 + (3)^2`

= 16 + 4 + 9

= 29

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Chapter 8: Exponents and Powers - Exercise [Page 257]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 98. (i) | Page 257

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