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The value of (25)-2 is ______. - Mathematics

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Question

The value of `(2/5)^-2` is ______.

Options

  • `4/5`

  • `4/25`

  • `25/4`

  • `5/2`

MCQ
Fill in the Blanks

Solution

The value of `(2/5)^-2` is `underlinebb(25/4)`.

Explanation:

Using law of exponents, `a^-m = 1/a^m`  ...[∵ A is non-zero integer]

∴ `(2/5)^-2 = 1/(2/5)^2`

= `1/(4/25)`

= `25/4`

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Chapter 8: Exponents and Powers - Exercise [Page 250]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 6. | Page 250

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