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The value of 14-2 is ______. - Mathematics

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Question

The value of `1/4^-2` is ______.

Options

  • 16

  • 8

  • `1/16`

  • `1/8`

MCQ
Fill in the Blanks
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Solution

The value of `1/4^-2` is 16.

Explanation:

Using law of exponents,

`a^-m = 1/a^m`  ...[∵ a is non-zero integer]

∴ `1/4^-2 = 1/(1/4^2)`

= `1/(1/16)`

= 1 × 16

= 16

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Chapter 8: Exponents and Powers - Exercise [Page 249]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 4. | Page 249

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