What is the correct simplification of 25^3/2?
The correct simplification of 25^(3/2) is 125.
To simplify the expression 25^(3/2), we need to apply the exponent to the base (25).
First, let's simplify the exponent 3/2. The exponent 3/2 represents the square root of 3. So, the expression can be written as (25^2)^(1/2).
Next, let's simplify the exponent inside the parentheses. 25^2 equals 625. So, the expression becomes 625^(1/2).
Since the exponent of 1/2 represents the square root, the simplified expression is the square root of 625.
The square root of 625 is 25.
Therefore, the correct simplification of 25^(3/2) is 25.