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# 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} ÷ a^{n} = 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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