Respuesta :

Given:

The expression is:

[tex]\dfrac{(-24)^5}{-24}[/tex]

To find:

The value of the given expression into a single power.

Solution:

We have,

[tex]\dfrac{(-24)^5}{-24}[/tex]

Using the quotient property of exponent, we get

[tex]\dfrac{(-24)^5}{-24}=(-24)^{5-1}[/tex]         [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{(-24)^5}{-24}=(-24)^{4}[/tex]

Therefore, the required value of the expression is [tex](-24)^{4}[/tex].