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Question
The value of [2–1 × 3–1]–1 is ______.
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Solution
The value of [2–1 × 3–1]–1 is 6.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `[2^-1 xx 3^-1]^-1 = (1/2 xx 1/3)^-1`
= `(1/6)^-1`
= 6
Hence, [2–1 × 3–1]–1 = 6
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