Which expressions are equivalent to the one below? Check all that apply.
25^x

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.
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