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Question
If x be any integer different from zero and m be any positive integer, then x–m is equal to ______.
Options
xm
–xm
`1/x^m`
`(-1)/x^m`
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Solution
If x be any integer different from zero and m be any positive integer, then x–m is equal to `underlinebb(1/x^m)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
Similarly, `x^-m = 1/x^m`
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