By what number should (-8)⁻³ be multiplied so that that the product may be equal to (-6)⁻³?

Solution:

Given, a number is multiplied by (-8)⁻³ so that the product becomes (-6)⁻³.

We have to find the number.

Let the number to be multiplied be x.

Now, x × (-8)⁻³ = (-6)⁻³

x = (-6)⁻³/(-8)⁻³

We observe that the powers are the same.

x = (-6/-8)³

x = (6/8)³

x = (3/4)³

x = 27/64

Therefore, the required number is 27/64.

✦ Try This: By what number should we multiply (-9)⁻³ so that the product becomes (-6)⁻³.

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 176

By what number should (-8)⁻³ be multiplied so that that the product may be equal to (-6)⁻³?

Summary:

We should multiply (-8)⁻³ by 27/64 so that the product may be equal to (-6)⁻³.

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