Respuesta :

A, E, and F

Explanation:

- (5 * 5)^x = (25)^x = 25^x

- 5^x * 5^x = (5 * 5)^x = (25)^x = 25^x     (distribute the power)

- 5^2x = (5^2)^x =  (25)^x = 25      ([tex](b^{n}) ^m = b^{n*m}[/tex])

By using exponential properties, we will see that the correct options are A, E, and F.

Which expression is equivalent to the given one?

Here we need to remember the relation:

[tex](a^n)^m = a^{n*m}[/tex]

The given expression is:

25^x

Notice that we can rewrite this as:

25^x = (5*5)^x = (5^2)^x = (5^x)*(5^x)

Now if we use the given relation, we can rewrite this as:

(5^2)^x = 5^(2x)

Then there are 3 equivalent expressions, these are:

(5*5)^x, (5^x)*(5^x), and 5^(2x)

So the correct options are A, E, and F.

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

https://brainly.com/question/11464095