By what number should (- 4)⁵ be divided so that the quotient may be equal to (- 4)³?

Solution:

Given, (-4)⁵ is divided by a number.

We have to find the number so the quotient may be equal to (-4)³

Let the number be x

So, (-4)⁵/x = (-4)³

On rearranging,

x = (-4)⁵/(-4)³

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m ÷ aⁿ = a^m-n

Here, a = -4, m = 5 and n = 3

m - n = 5 - 3 = 2

a^m-n = (-4)²

x = (-4)²

Therefore, x = 16

✦ Try This: By what number should (-5)⁵ be divided so that the quotient may be equal to (-5)²

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 68

By what number should (- 4)⁵ be divided so that the quotient may be equal to (- 4)³

Summary:

(- 4)⁵ be divided by 16 so that the quotient may be equal to (- 4)

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