Final answer:
To simplify 25^(3/2), find the square root of 25 and then raise it to the power of 3. The answer is 125.
Step-by-step explanation:
To simplify 25^(3/2), we first need to understand the concept of fractional exponents. In this case, the exponent is 3/2, which means we need to find the square root of 25 and then raise it to the power of 3. The square root of 25 is 5, so (25^(3/2)) can be rewritten as (5^3).
Now, we know that 5^3 means 5 multiplied by itself three times. Therefore, 25^(3/2) is equal to 5 multiplied by 5 multiplied by 5, which simplifies to 125.