Final answer:
To simplify (25x^5)/(5x^2), divide 25 by 5 to get 5, and subtract the exponent 2 from 5 to get x^3, making the simplified expression 5x^3.
Step-by-step explanation:
To simplify the expression (25x5)/(5x2), we apply the Division of Exponentials rule. First, divide the constant terms, which are the numbers without variables. Therefore, 25 divided by 5 equals 5. Then, we subtract the exponents of like bases during division. In this case, we subtract 2 (the exponent of the denominator) from 5 (the exponent of the numerator), resulting in an exponent of 3 for x.
Following these steps, the simplified form of the expression is:
25/5 = 5
x5/x2 = x5-2 = x3
Putting it all together, we get:
5x3