By what number should (-15)⁻¹ be divided so that the quotient may be equal to (-5)⁻¹?

Solution:

Given, (-15)⁻¹ should be divided by a number so that the quotient may be equal to (-5)⁻¹.

We have to find the number.

Let the number be x.

According to the question,

(-15)⁻¹ ÷ x = (-5)⁻¹

(-15)⁻¹ × 1/x = (-5)⁻¹

Solving for x,

x = (-15)⁻¹ / (-5)⁻¹

We observe that the powers are the same.

x = -15/-5

x = 15/5

x = 3

Therefore, the required value is 3.

✦ Try This: By what number should (2/5)⁻³ be divided so that the quotient may be (4/25)⁻²?

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 175

By what number should (-15)⁻¹ be divided so that the quotient may be equal to (-5)⁻¹?

Summary:

(-15)⁻¹ should be divided by 3 so that the quotient may be equal to (-5)⁻¹.

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