Final answer:
To find the product of (2/3) * (a/9), multiply the numerators and the denominators to get the result 2a/27.
Step-by-step explanation:
To perform the indicated operation and write the answer as an algebraic expression, simply multiply the two given fractions. This operation involves multiplication of the numerators and denominators separately.
The operation to be performed is (2/3) * (a/9). Multiplying the numerators (2 * a) gives us 2a. Multiplying the denominators (3 * 9) gives us 27. Therefore, the algebraic expression in its simplest form is 2a/27.