The multiplicative inverse of (3/2)² is not equal to (2/3)⁻². State whether the statement is true or false.

Solution:

Given, the multiplicative inverse of (3/2)² is not equal to (2/3)⁻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 = (2/3)⁻²

Now, a × (2/3)⁻² = 1

a = 1/(2/3)⁻²

Using law of exponents,

a⁻ⁿ = 1/aⁿ

a = (2/3)²

Therefore, the multiplicative inverse of (3/2)² is (3/2)⁻².

✦ Try This: The multiplicative inverse of (8)² is not equal to (1/8)⁻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 67

The multiplicative inverse of (3/2)² is not equal to (2/3)⁻². State whether the statement is true or false.

Summary:

The given statement, ”The multiplicative inverse of (3/2)² is not equal to (2/3)⁻²” is true.

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