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प्रश्न
Simplify:
`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
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उत्तर
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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