4a³b*(3ab)–²
To simplify the expression 4a³b*(3ab)–², we can first simplify the term (3ab)–², which means the reciprocal of (3ab)².
(3ab)² = 9a²b²
So, (3ab)–² = 1/(3ab)² = 1/(9a²b²)
Now, we can substitute this value back into the original expression:
4a³b*(3ab)–² = 4a³b*(1/(9a²b²))
Simplifying further, we can cancel out one of the a's and one of the b's:
4a³b*(1/(9a²b²)) = (4/9) * (a³/a²) * (b/b²)
= (4/9) * a * (1/b)
Therefore, the simplified expression is (4/9)ab⁻¹.