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Question
The value of [3–1 × 4–1]2 is ______.
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Solution
The value of [3–1 × 4–1]2 is `underlinebb(1/144)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `[3^-1 xx 4^-1]^2 = (1/3 xx 1/4)^2`
= `(1/12)^2`
= `1/144`
Hence, `[3^-1 xx 4^-1]^2 = 1/144`
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