Final answer:
The fraction with the same value as 6^(-2) * 24^(1/2) is 1/36 * 4.899.
Step-by-step explanation:
To find the fraction with the same value as 6^(-2) * 24^(1/2), we need to simplify the expression.
First, we evaluate 6^(-2) as 1/(6^2), which is equal to 1/36.
Next, we simplify 24^(1/2) as the square root of 24, which is approximately 4.899.
Therefore, the fraction with the same value is 1/36 * 4.899, which can be further simplified if needed.