Respuesta :

Answer:

[tex]4^{3}[/tex]

Step-by-step explanation:

The given expression is

[tex](4^{11})(4^{-8})[/tex]

Notice that this expression is the product of two powers, to rewrite it, we need to use the following property

[tex]x^{m} \times x^{n}= x^{m+n}[/tex]

Using this property, we have

[tex](4^{11})(4^{-8})=4^{11-8}=4^{3}[/tex]

Therefore, the answer is [tex]4^{3}[/tex]

facundo3141592

By using exponent properties, we will see that the given expression is equal to 4^3.

How to multiply exponents with an equal base?

We want to rewrite the given expression in something of the form 4^n.

Here we just need to use the property:

[tex]a^x*a^y = a^{x + y}[/tex]

In this case, we have the expression:

[tex]4^{11}*4^{-8}[/tex]

If we use the above property to get:

[tex]4^{11}*4^{-8} = 4^{11 - 8} = 4^3[/tex]

Then we can see that n = 3.

If you want to learn more about exponents, you can read:

https://brainly.com/question/11464095

Otras preguntas