Respuesta :

5^5/5^8
First of all, to simplify this ,we need to know about Law of Exponent rule which is:
a^p/a^q
=a^p-q (a≠0)
Now, we just do the same thing with this:
5^5/5^8
=5^5-8
=5^-3
Also, to make this simple, apply this into another Law of Exponents which is:
a^-p
=1/a^p (a≠0)
To the same to this
5^-3
=1/5^3. As a result, 1 over 5 to the 3rd power is your final answer. Hope it help!

Answer:

The correct option is A) 1 over 5 to the 3rd power.

Step-by-step explanation:

Consider the provided information.

5 to the 5th over 5 to the 8th

This can be written as:

[tex]\frac{5^5}{5^{8}}[/tex]

Now, use the property of exponent: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Use the above property to solve the provided expression.

[tex]5^{5-8}[/tex]

[tex]5^{-3}[/tex]

Negative exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]

Use the above rule as shown:

[tex]5^{-3}[/tex]

[tex]\frac{1}{5^{-3}}[/tex]

Thus, the simplified form of the provided expression is [tex]\frac{1}{5^{-3}}[/tex].

Hence, the correct option is A) 1 over 5 to the 3rd power.

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