Question

By what number should(-3)⁻¹ be multiplied so that the product becomes( 6)⁻¹ ​

Answer 1

Answer:

(-3)⁻¹ should be multiplied by (-2)⁻¹ so that the product becomes( 6)⁻¹ ​

Step-by-step explanation:

We have to find the number by which (-3)⁻¹ should be multiplied so that the product becomes( 6)⁻¹

(-3)⁻¹ can be written as (-1/3)

and (6)⁻¹ can be written as (1/6)

Let the number be a.

According to question,

(-1/3) × a = (1/6)

a = (-3) × (1/6)

a = (-1/2) = (-2)⁻¹

∴ a = (-2)⁻¹

So, (-3)⁻¹ should be multiplied by (-2)⁻¹ so that the product becomes( 6)⁻¹ ​