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The multiplicative inverse of (– 4)–2 is (4)–2. - Mathematics

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Question

The multiplicative inverse of (– 4)–2 is (4)–2.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

a is called the multiplicative inverse of b, if a × b = 1.

Put b = (– 4)–2

∴ a × (– 4)–2 = 1

∴ `a = 1/((-4)^-2) = (-4)^2`  ...`[∵ a^-m = 1/a^m]`

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Chapter 8: Exponents and Powers - Exercise [Page 255]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 66. | Page 255

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