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