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Question
Which of the following is equal to `(- 3/4)^-3`?
Options
`(3/4)^-3`
`-(3/4)^-3`
`(4/3)^3`
`(- 4/3)^3`
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Solution
`bb((- 4/3)^3)`
Explanation:
Given, `((-3)/4)^-3`
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `((-3)/4)^-3 = 1/((-3)/4)^3 = (- 4/3)^3`
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