Question

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

Answer 1

(-4)^5+3
(-4)^8
hope it is helpful to you

Answer 2

The number should be divided by ${(-4)^{2}$ or 16.

Step-by-step explanation:

Let x be divided by $(-4)^5$.

To find, the number = ?

According to question,

$\dfrac{(-4)^5}{x}=(-4)^3$

⇒ $x=\dfrac{(-4)^5}{(-4)^3}$

⇒ $x={(-4)^{5-3}$

Using the identity,

$\dfrac{a^m}{a^n}=a^{m-n}$

⇒$x={(-4)^{2}$

⇒ x = ${(-4)^{2}$ or 16

Hence, the number should be divided by ${(-4)^{2}$ or 16.