The multiplicative inverse of (-4)⁻² is (4)⁻². State whether the statement is true or false.

Solution:

Given, the multiplicative inverse of (-4)⁻² is (4)⁻².

The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1.

i.e., a × b = 1

Let b = (4)⁻²

Now, a × (4)⁻² = 1

a = 1/4⁻²

Using law of exponents,

a⁻ⁿ = 1/aⁿ

a = 4²

Therefore, the multiplicative inverse of 4² is (4)⁻².

✦ Try This: The multiplicative inverse of (5)⁻² is (5)². State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 66

The multiplicative inverse of (-4)⁻² is (4)⁻². State whether the statement is true or false.

Summary:

The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1. The given statement, ”The multiplicative inverse of (- 4)⁻² is (4)⁻²” is false.

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