Question

Multiplicative inverse of (-2/3)²

Answer 1

Answer:

4/9

Step-by-step explanation:

2/3 x 2/3 = 4/9

It very easy

Answer 2

Here is your answer mate...

Q. (-2/3)²

→ (-2)²/(3²)

→ 4/9

We know that, in mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. Multiplicative inverses can be defined over many mathematical domains as well as numbers.

.°. The multiplicative inverse of 4/9 is 9/4.

Now, 9/4

→ (3²)/(2²) OR (3²)/(-2²)

→ (3/2)² OR (3/-2)²

According to the question, the more appropriate answer would be (3/-2)². So, the multiplicative inverse of (-2/3)² is (3/-2)².

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