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Question
`((-7)/5)^-1` is equal to ______.
Options
`5/7`
`-5/7`
`7/5`
`(-7)/5`
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Solution
`((-7)/5)^-1` is equal to `underlinebb(- 5/7)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `((-7)/5)^-1 = 1/(((-7)/5)) = (- 5/7)`
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