4a³b*(3ab)–²

Answer 1

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.

Answer 2

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