3ab^2 3a^2 b
-------------- * -------------
4ab 4a
(3ab^2)/(4ab) * (3ab^2)/(4a)
= 3b/4 * 3b^2/4
= 9b^3/16
ahem ...
(3ab^2)/(4ab) * (3a^2b)/(4a)
= 3b/4 * 3ab/4
= 9ab^2/16
3ab^2/4ab * 3a^2 b /4a
To simplify the expression (3ab^2 / 4ab) * (3a^2b / 4a), we can follow these steps:
Step 1: Simplify each fraction individually.
In the first fraction, simplify (3ab^2 / 4ab):
The a term in the numerator cancels out with the a term in the denominator, leaving us with (3b^2 / 4).
In the second fraction, simplify (3a^2b / 4a):
Here, the a term in the numerator cancels out with the a term in the denominator, leaving us with (3ab / 4).
Step 2: Simplify the overall expression by multiplying the simplified fractions.
Now that we have simplified each fraction individually, we can multiply the simplified fractions together:
(3b^2 / 4) * (3ab / 4)
To multiply these two fractions, we multiply the numerators together and multiply the denominators together:
(3 * 3 * b^2 * ab) / (4 * 4)
Simplifying the numerator, we have:
9ab^3
Simplifying the denominator, we have:
16
Therefore, the simplified expression is:
(9ab^3) / 16