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Which of the following is not the reciprocal of (23)4? - Mathematics

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Question

Which of the following is not the reciprocal of `(2/3)^4`?

Options

  • `(3/2)^4`

  • `(3/2)^-4`

  • `(2/3)^-4`

  • `3^4/2^4`

MCQ

Solution

`bb((3/2)^-4)`

Explanation:

Reciprocal of a is `1/a`.

Similarly, `(2/3)^4 = (3/2)^4 = 3^4/2^4 = (2/3)^-4`

Hence, `(3/2)^-4` is not the reciprocal of `(2/3)^4`

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Chapter 8: Exponents and Powers - Exercise [Page 253]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 33. | Page 253

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