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If x be any integer different from zero and m be any positive integer, then x–m is equal to ______. - Mathematics

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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`

MCQ
Fill in the Blanks

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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Chapter 8: Exponents and Powers - Exercise [Page 251]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 15. | Page 251

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