Explanation

Let's simplify the expression:

√25^(3x) = √(5²)^(3x) = √(5^(6x)) = 5^(3x)

Now, divide by 5^(6x-2):

5^(3x) / 5^(6x-2) = 5^(3x - 6x + 2) = 5^(-3x + 2)

For this to equal one of the given options (5, 10, 15), let's see if -3x + 2 = 1 (for 5¹ = 5):

-3x + 2 = 1

-3x = -1

x = 1/3

Then, 5^(-3(1/3) + 2) = 5¹ = 5