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Which of the following is not equal to (-54)4? - Mathematics

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Question

Which of the following is not equal to `((-5)/4)^4`?

Options

  • `(-5)^4/4^4`

  • `5^4/(-4)^4`

  • `- 5^4/4^4`

  • `(-5/4) xx (-5/4) xx (-5/4) xx (-5/4)`

MCQ

Solution

`- 5^4/4^4`

Explanation:

We know that, `(p/q)^m = p^m/q^m`

So, `((-5)/4)^4 = (-5)^4/(4)^4` or `((-5)/4)^4 = (5)^4/(-4)^4`

or `((-5)/4)^4 = ((-5)/4) xx ((-5)/4) xx ((-5)/4) xx ((-5)/4)`

Hence, `- 5^4/4^4` is not equal to 1.

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Chapter 11: Exponents and Powers - Exercise [Page 339]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 11 Exponents and Powers
Exercise | Q 14. | Page 339

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