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Question
The reciprocal of `(2/5)^-1` is ______.
Options
`2/5`
`5/2`
`- 5/2`
` - 2/5`
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Solution
The reciprocal of `(2/5)^-1` is `underlinebb(5/2)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(2/5)^-1 = 1/(2/5)^1 = 5/2`
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